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3255393024 = 28331336229
BaseRepresentation
bin1100001000001001…
…0101101100000000
322101212121002201000
43002002111230000
523131340034044
61255010212000
7143446245522
oct30202255400
98355532630
103255393024
111420647a64
1276a284000
133cb594880
1422c4c7a12
15140be0d69
hexc2095b00

3255393024 has 144 divisors (see below), whose sum is σ = 10367576800. Its totient is φ = 1001631744.

The previous prime is 3255393023. The next prime is 3255393047. The reversal of 3255393024 is 4203935523.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3255393024.

It is not an unprimeable number, because it can be changed into a prime (3255393023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71742 + ... + 107970.

Almost surely, 23255393024 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 3255393024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5183788400).

3255393024 is an abundant number, since it is smaller than the sum of its proper divisors (7112183776).

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

3255393024 is a wasteful number, since it uses less digits than its factorization.

3255393024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36267 (or 36247 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 3255393024 is about 57056.0515984063. The cubic root of 3255393024 is about 1482.0669051406.

The spelling of 3255393024 in words is "three billion, two hundred fifty-five million, three hundred ninety-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 936 1152 1248 1404 1664 1728 1872 2304 2496 2808 3328 3456 3744 4992 5616 6912 7488 9984 11232 14976 22464 29952 36229 44928 72458 89856 108687 144916 217374 289832 326061 434748 470977 579664 652122 869496 941954 978183 1159328 1304244 1412931 1738992 1883908 1956366 2318656 2608488 2825862 3477984 3767816 3912732 4238793 4637312 5216976 5651724 6955968 7535632 7825464 8477586 9274624 10433952 11303448 12716379 13911936 15071264 15650928 16955172 20867904 22606896 25432758 27823872 30142528 31301856 33910344 41735808 45213792 50865516 60285056 62603712 67820688 83471616 90427584 101731032 120570112 125207424 135641376 180855168 203462064 250414848 271282752 361710336 406924128 542565504 813848256 1085131008 1627696512 3255393024