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314874096 = 24341193829
BaseRepresentation
bin10010110001001…
…001100011110000
3210221111021001120
4102301021203300
51121101432341
651124502240
710542246165
oct2261114360
9727437046
10314874096
11151813629
128954a980
1350308044
142db6606c
151c99b066
hex12c498f0

314874096 has 80 divisors (see below), whose sum is σ = 838592160. Its totient is φ = 101744640.

The previous prime is 314874073. The next prime is 314874121. The reversal of 314874096 is 690478413.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379410 + ... + 380238.

It is an arithmetic number, because the mean of its divisors is an integer number (10482402).

Almost surely, 2314874096 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 314874096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419296080).

314874096 is an abundant number, since it is smaller than the sum of its proper divisors (523718064).

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

314874096 is a wasteful number, since it uses less digits than its factorization.

314874096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 314874096 is about 17744.6920514277. The cubic root of 314874096 is about 680.3185474076.

The spelling of 314874096 in words is "three hundred fourteen million, eight hundred seventy-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 193 246 328 386 492 579 656 772 829 984 1158 1544 1658 1968 2316 2487 3088 3316 4632 4974 6632 7913 9264 9948 13264 15826 19896 23739 31652 33989 39792 47478 63304 67978 94956 101967 126608 135956 159997 189912 203934 271912 319994 379824 407868 479991 543824 639988 815736 959982 1279976 1631472 1919964 2559952 3839928 6559877 7679856 13119754 19679631 26239508 39359262 52479016 78718524 104958032 157437048 314874096