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314497404 = 22351324889
BaseRepresentation
bin10010101111101…
…101100101111100
3210220210010100000
4102233231211330
51121002404104
651112434300
710536120024
oct2257554574
9726703300
10314497404
11151586611
12893a8990
1350205750
142daa8a84
151c924639
hex12bed97c

314497404 has 72 divisors (see below), whose sum is σ = 887876080. Its totient is φ = 96764544.

The previous prime is 314497363. The next prime is 314497439. The reversal of 314497404 is 404794413.

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

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, 192 + ... + 25080.

Almost surely, 2314497404 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 314497404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443938040).

314497404 is an abundant number, since it is smaller than the sum of its proper divisors (573378676).

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

314497404 is a wasteful number, since it uses less digits than its factorization.

314497404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24921 (or 24907 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 314497404 is about 17734.0746586903. The cubic root of 314497404 is about 680.0471449436.

The spelling of 314497404 in words is "three hundred fourteen million, four hundred ninety-seven thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 2106 3159 4212 6318 12636 24889 49778 74667 99556 149334 224001 298668 323557 448002 647114 672003 896004 970671 1294228 1344006 1941342 2016009 2688012 2912013 3882684 4032018 5824026 6048027 8064036 8736039 11648052 12096054 17472078 24192108 26208117 34944156 52416234 78624351 104832468 157248702 314497404