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3245052240 = 243354673217
BaseRepresentation
bin1100000101101011…
…1001000101010000
322101011010201211000
43001122321011100
523121213132430
61254000422000
7143262326463
oct30132710520
98334121730
103245052240
111415824861
12766917900
133c93b3b71
1422ad952da
1513ed4be60
hexc16b9150

3245052240 has 160 divisors (see below), whose sum is σ = 11204818560. Its totient is φ = 863225856.

The previous prime is 3245052211. The next prime is 3245052247. The reversal of 3245052240 is 422505423.

It is a happy number.

3245052240 is a `hidden beast` number, since 324 + 50 + 52 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3245052247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1007112 + ... + 1010328.

It is an arithmetic number, because the mean of its divisors is an integer number (70030116).

Almost surely, 23245052240 is an apocalyptic number.

3245052240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3245052240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602409280).

3245052240 is an abundant number, since it is smaller than the sum of its proper divisors (7959766320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3245052240 is a wasteful number, since it uses less digits than its factorization.

3245052240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 3245052240 is about 56965.3600006179. The cubic root of 3245052240 is about 1480.4959745068.

Adding to 3245052240 its reverse (422505423), we get a palindrome (3667557663).

The spelling of 3245052240 in words is "three billion, two hundred forty-five million, fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 467 540 720 934 1080 1401 1868 2160 2335 2802 3217 3736 4203 4670 5604 6434 7005 7472 8406 9340 9651 11208 12609 12868 14010 16085 16812 18680 19302 21015 22416 25218 25736 28020 28953 32170 33624 37360 38604 42030 48255 50436 51472 56040 57906 63045 64340 67248 77208 84060 86859 96510 100872 112080 115812 126090 128680 144765 154416 168120 173718 193020 201744 231624 252180 257360 289530 336240 347436 386040 434295 463248 504360 579060 694872 772080 868590 1008720 1158120 1389744 1502339 1737180 2316240 3004678 3474360 4507017 6009356 6948720 7511695 9014034 12018712 13521051 15023390 18028068 22535085 24037424 27042102 30046780 36056136 40563153 45070170 54084204 60093560 67605255 72112272 81126306 90140340 108168408 120187120 135210510 162252612 180280680 202815765 216336816 270421020 324505224 360561360 405631530 540842040 649010448 811263060 1081684080 1622526120 3245052240