Search a number
-
+
3241412040 = 2335892231361
BaseRepresentation
bin1100000100110100…
…0000010111001000
322100220021210101210
43001031000113020
523114300141130
61253350413120
7143216355606
oct30115002710
98326253353
103241412040
111413768929
127656611a0
133c870acb9
1422a6c8876
1513e87d5b0
hexc13405c8

3241412040 has 128 divisors (see below), whose sum is σ = 9884851200. Its totient is φ = 850206720.

The previous prime is 3241412039. The next prime is 3241412059. The reversal of 3241412040 is 402141423.

It is a junction number, because it is equal to n+sod(n) for n = 3241411998 and 3241412016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2380960 + ... + 2382320.

It is an arithmetic number, because the mean of its divisors is an integer number (77225400).

Almost surely, 23241412040 is an apocalyptic number.

3241412040 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 3241412040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4942425600).

3241412040 is an abundant number, since it is smaller than the sum of its proper divisors (6643439160).

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

3241412040 is a wasteful number, since it uses less digits than its factorization.

3241412040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3241412040 is about 56933.4000389929. The cubic root of 3241412040 is about 1479.9421757296.

Adding to 3241412040 its reverse (402141423), we get a palindrome (3643553463).

The spelling of 3241412040 in words is "three billion, two hundred forty-one million, four hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 223 267 356 445 446 534 669 712 890 892 1068 1115 1335 1338 1361 1780 1784 2136 2230 2670 2676 2722 3345 3560 4083 4460 5340 5352 5444 6690 6805 8166 8920 10680 10888 13380 13610 16332 19847 20415 26760 27220 32664 39694 40830 54440 59541 79388 81660 99235 119082 121129 158776 163320 198470 238164 242258 297705 303503 363387 396940 476328 484516 595410 605645 607006 726774 793880 910509 969032 1190820 1211290 1214012 1453548 1517515 1816935 1821018 2381640 2422580 2428024 2907096 3035030 3633870 3642036 4552545 4845160 6070060 7267740 7284072 9105090 12140120 14535480 18210180 27011767 36420360 54023534 81035301 108047068 135058835 162070602 216094136 270117670 324141204 405176505 540235340 648282408 810353010 1080470680 1620706020 3241412040