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3330370404 = 22355958073
BaseRepresentation
bin1100011010000001…
…0110101101100100
322121002200100100000
43012200112231210
523310033323104
61310245221300
7145346452464
oct30640265544
98532610300
103330370404
1114599a8639
1278b401830
13410c86a9a
14238443ba4
151475a1639
hexc6816b64

3330370404 has 72 divisors (see below), whose sum is σ = 8878353120. Its totient is φ = 1091289024.

The previous prime is 3330370391. The next prime is 3330370409. The reversal of 3330370404 is 4040730333.

It is a super-2 number, since 2×33303704042 = 22182734055678246432, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3330370409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28312 + ... + 86384.

It is an arithmetic number, because the mean of its divisors is an integer number (123310460).

Almost surely, 23330370404 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 3330370404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4439176560).

3330370404 is an abundant number, since it is smaller than the sum of its proper divisors (5547982716).

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

3330370404 is a wasteful number, since it uses less digits than its factorization.

3330370404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58151 (or 58137 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

The square root of 3330370404 is about 57709.3614936086. The cubic root of 3330370404 is about 1493.3588481282.

The spelling of 3330370404 in words is "three billion, three hundred thirty million, three hundred seventy thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 243 324 354 486 531 708 972 1062 1593 2124 3186 4779 6372 9558 14337 19116 28674 57348 58073 116146 174219 232292 348438 522657 696876 1045314 1567971 2090628 3135942 3426307 4703913 6271884 6852614 9407826 10278921 13705228 14111739 18815652 20557842 28223478 30836763 41115684 56446956 61673526 92510289 123347052 185020578 277530867 370041156 555061734 832592601 1110123468 1665185202 3330370404