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314378328 = 233112293733
BaseRepresentation
bin10010101111010…
…000100001011000
3210220120001222210
4102233100201120
51120440101303
651110115120
710535112615
oct2257204130
9726501883
10314378328
11151505100
128934baa0
13501934a4
142da7750c
151c8ee203
hex12bd0858

314378328 has 96 divisors (see below), whose sum is σ = 893919600. Its totient is φ = 91956480.

The previous prime is 314378321. The next prime is 314378333. The reversal of 314378328 is 823873413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314378321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82350 + ... + 86082.

Almost surely, 2314378328 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 314378328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446959800).

314378328 is an abundant number, since it is smaller than the sum of its proper divisors (579541272).

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

314378328 is a wasteful number, since it uses less digits than its factorization.

314378328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3793 (or 3778 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 314378328 is about 17730.7170751778. The cubic root of 314378328 is about 679.9613069102.

The spelling of 314378328 in words is "three hundred fourteen million, three hundred seventy-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 121 132 174 232 242 264 319 348 363 484 638 696 726 957 968 1276 1452 1914 2552 2904 3509 3733 3828 7018 7466 7656 10527 11199 14036 14932 21054 22398 28072 29864 41063 42108 44796 82126 84216 89592 108257 123189 164252 216514 246378 324771 328504 433028 451693 492756 649542 866056 903386 985512 1190827 1299084 1355079 1806772 2381654 2598168 2710158 3572481 3613544 4763308 5420316 7144962 9526616 10840632 13099097 14289924 26198194 28579848 39297291 52396388 78594582 104792776 157189164 314378328