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3423200240 = 245176313989
BaseRepresentation
bin1100110000001001…
…1110001111110000
322211120100120221002
43030002132033300
524002314401430
61323403021132
7150554502425
oct31402361760
98746316832
103423200240
1114a7342009
127b650a7a8
13427289a95
142468c9d4c
151507db845
hexcc09e3f0

3423200240 has 80 divisors (see below), whose sum is σ = 8442584640. Its totient is φ = 1286369280.

The previous prime is 3423200233. The next prime is 3423200267. The reversal of 3423200240 is 420023243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856166 + ... + 860154.

It is an arithmetic number, because the mean of its divisors is an integer number (105532308).

Almost surely, 23423200240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3423200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221292320).

3423200240 is an abundant number, since it is smaller than the sum of its proper divisors (5019384400).

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

3423200240 is a wasteful number, since it uses less digits than its factorization.

3423200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4650 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3423200240 is about 58508.1211457008. The cubic root of 3423200240 is about 1507.1070496776.

Adding to 3423200240 its reverse (420023243), we get a palindrome (3843223483).

The spelling of 3423200240 in words is "three billion, four hundred twenty-three million, two hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 631 680 1262 1360 2524 3155 3989 5048 6310 7978 10096 10727 12620 15956 19945 21454 25240 31912 39890 42908 50480 53635 63824 67813 79780 85816 107270 135626 159560 171632 214540 271252 319120 339065 429080 542504 678130 858160 1085008 1356260 2517059 2712520 5034118 5425040 10068236 12585295 20136472 25170590 40272944 42790003 50341180 85580006 100682360 171160012 201364720 213950015 342320024 427900030 684640048 855800060 1711600120 3423200240