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3332431404 = 2232798831327
BaseRepresentation
bin1100011010100000…
…1101111000101100
322121020120001111100
43012220031320230
523311100301104
61310401323100
7145403125311
oct30650157054
98536501440
103332431404
111460086045
12790036490
13411528c03
1423881cd08
1514785c139
hexc6a0de2c

3332431404 has 72 divisors (see below), whose sum is σ = 8546370560. Its totient is φ = 1094681952.

The previous prime is 3332431391. The next prime is 3332431423. The reversal of 3332431404 is 4041342333.

It is a super-2 number, since 2×33324314042 = 22210198124730822432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2510589 + ... + 2511915.

Almost surely, 23332431404 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 3332431404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273185280).

3332431404 is an abundant number, since it is smaller than the sum of its proper divisors (5213939156).

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

3332431404 is a wasteful number, since it uses less digits than its factorization.

3332431404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3332431404 is about 57727.2154533717. The cubic root of 3332431404 is about 1493.6668396857. Note that the first 3 decimals are identical.

Adding to 3332431404 its reverse (4041342333), we get a palindrome (7373773737).

The spelling of 3332431404 in words is "three billion, three hundred thirty-two million, four hundred thirty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 883 948 1327 1422 1766 2649 2654 2844 3532 3981 5298 5308 7947 7962 10596 11943 15894 15924 23886 31788 47772 69757 104833 139514 209271 209666 279028 314499 418542 419332 627813 628998 837084 943497 1171741 1255626 1257996 1886994 2343482 2511252 3515223 3773988 4686964 7030446 10545669 14060892 21091338 42182676 92567539 185135078 277702617 370270156 555405234 833107851 1110810468 1666215702 3332431404