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331344104 = 237132157223
BaseRepresentation
bin10011101111111…
…110100011101000
3212002111000122212
4103233332203220
51134311002404
652513504252
711132243540
oct2357764350
9762430585
10331344104
11160042803
1292b72088
1353853800
1432012320
151e15106e
hex13bfe8e8

331344104 has 96 divisors (see below), whose sum is σ = 777208320. Its totient is φ = 129662208.

The previous prime is 331344029. The next prime is 331344121. The reversal of 331344104 is 401443133.

It is a self number, because there is not a number n which added to its sum of digits gives 331344104.

It is a congruent number.

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, 1485737 + ... + 1485959.

It is an arithmetic number, because the mean of its divisors is an integer number (8095920).

Almost surely, 2331344104 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 331344104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388604160).

331344104 is an abundant number, since it is smaller than the sum of its proper divisors (445864216).

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

331344104 is a wasteful number, since it uses less digits than its factorization.

331344104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 331344104 is about 18202.8597753210. The cubic root of 331344104 is about 691.9792669788.

Adding to 331344104 its reverse (401443133), we get a palindrome (732787237).

The spelling of 331344104 in words is "three hundred thirty-one million, three hundred forty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 157 169 182 223 314 338 364 446 628 676 728 892 1099 1183 1256 1352 1561 1784 2041 2198 2366 2899 3122 4082 4396 4732 5798 6244 8164 8792 9464 11596 12488 14287 16328 20293 23192 26533 28574 35011 37687 40586 53066 57148 70022 75374 81172 106132 114296 140044 150748 162344 185731 212264 245077 263809 280088 301496 371462 455143 490154 527618 742924 910286 980308 1055236 1485848 1820572 1960616 2110472 3186001 3641144 5916859 6372002 11833718 12744004 23667436 25488008 41418013 47334872 82836026 165672052 331344104