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314423680 = 2754431109
BaseRepresentation
bin10010101111011…
…011100110000000
3210220122101012111
4102233123212000
51120443024210
651111105104
710535362054
oct2257334600
9726571174
10314423680
1115153618a
1289372194
13501ab01c
142da89c64
151c90c88a
hex12bdb980

314423680 has 64 divisors (see below), whose sum is σ = 754045200. Its totient is φ = 125372416.

The previous prime is 314423663. The next prime is 314423701. The reversal of 314423680 is 86324413.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282966 + ... + 284074.

Almost surely, 2314423680 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 314423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377022600).

314423680 is an abundant number, since it is smaller than the sum of its proper divisors (439621520).

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

314423680 is a wasteful number, since it uses less digits than its factorization.

314423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 314423680 is about 17731.9959395439. The cubic root of 314423680 is about 679.9940022539.

The spelling of 314423680 in words is "three hundred fourteen million, four hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 443 640 886 1109 1772 2215 2218 3544 4430 4436 5545 7088 8860 8872 11090 14176 17720 17744 22180 28352 35440 35488 44360 56704 70880 70976 88720 141760 141952 177440 283520 354880 491287 709760 982574 1965148 2456435 3930296 4912870 7860592 9825740 15721184 19651480 31442368 39302960 62884736 78605920 157211840 314423680