Search a number
-
+
3330401032 = 23735572179
BaseRepresentation
bin1100011010000001…
…1110001100001000
322121002201220100101
43012200132030020
523310040313112
61310250015144
7145346641000
oct30640361410
98532656311
103330401032
111459a19652
1278b4174b4
13410c979ca
14238451000
151475aa757
hexc681e308

3330401032 has 64 divisors (see below), whose sum is σ = 7298640000. Its totient is φ = 1424098368.

The previous prime is 3330401027. The next prime is 3330401057. The reversal of 3330401032 is 2301040333.

It is a super-2 number, since 2×33304010322 = 22183142067893330048, which contains 22 as substring.

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, 1527319 + ... + 1529497.

It is an arithmetic number, because the mean of its divisors is an integer number (114041250).

Almost surely, 23330401032 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 3330401032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649320000).

3330401032 is an abundant number, since it is smaller than the sum of its proper divisors (3968238968).

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

3330401032 is a wasteful number, since it uses less digits than its factorization.

3330401032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 3330401032 is about 57709.6268572237. The cubic root of 3330401032 is about 1493.3634260429.

Adding to 3330401032 its reverse (2301040333), we get a palindrome (5631441365).

The spelling of 3330401032 in words is "three billion, three hundred thirty million, four hundred one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 557 686 1114 1372 2179 2228 2744 3899 4358 4456 7798 8716 15253 15596 17432 27293 30506 31192 54586 61012 106771 109172 122024 191051 213542 218344 382102 427084 747397 764204 854168 1213703 1494794 1528408 2427406 2989588 4854812 5979176 8495921 9709624 16991842 33983684 59471447 67967368 118942894 237885788 416300129 475771576 832600258 1665200516 3330401032