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314195840 = 2757243233
BaseRepresentation
bin10010101110100…
…011111110000000
3210220012210122222
4102232203332000
51120413231330
651102150212
710533422600
oct2256437600
9726183588
10314195840
1115139aa92
1289282368
135012b3ca
142da2ac00
151c8b50e5
hex12ba3f80

314195840 has 192 divisors, whose sum is σ = 897914160. Its totient is φ = 104767488.

The previous prime is 314195839. The next prime is 314195851. The reversal of 314195840 is 48591413.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 314195840.

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, 1348364 + ... + 1348596.

Almost surely, 2314195840 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 314195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448957080).

314195840 is an abundant number, since it is smaller than the sum of its proper divisors (583718320).

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

314195840 is a wasteful number, since it uses less digits than its factorization.

314195840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 314195840 is about 17725.5702306019. The cubic root of 314195840 is about 679.8297151465.

The spelling of 314195840 in words is "three hundred fourteen million, one hundred ninety-five thousand, eight hundred forty".