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314054268 = 2231119125221
BaseRepresentation
bin10010101110000…
…001011001111100
3210212221121110120
4102232001121330
51120344214033
651055134540
710532263053
oct2256013174
9725847416
10314054268
11151303690
1289214450
13500abb38
142d9d139a
151c8881b3
hex12b8167c

314054268 has 48 divisors (see below), whose sum is σ = 841491840. Its totient is φ = 90158400.

The previous prime is 314054267. The next prime is 314054269. The reversal of 314054268 is 862450413.

It is an interprime number because it is at equal distance from previous prime (314054267) and next prime (314054269).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314054263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60103 + ... + 65118.

It is an arithmetic number, because the mean of its divisors is an integer number (17531080).

Almost surely, 2314054268 is an apocalyptic number.

314054268 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

314054268 is an abundant number, since it is smaller than the sum of its proper divisors (527437572).

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

314054268 is a wasteful number, since it uses less digits than its factorization.

314054268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125258 (or 125256 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 314054268 is about 17721.5763407209. The cubic root of 314054268 is about 679.7275927340.

The spelling of 314054268 in words is "three hundred fourteen million, fifty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 125221 250442 375663 500884 751326 1377431 1502652 2379199 2754862 4132293 4758398 5509724 7137597 8264586 9516796 14275194 16529172 26171189 28550388 52342378 78513567 104684756 157027134 314054268