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314054100 = 223252348949
BaseRepresentation
bin10010101110000…
…001010111010100
3210212221121020100
4102232001113110
51120344212400
651055134100
710532262423
oct2256012724
9725847210
10314054100
11151303548
1289214330
13500aba39
142d9d12ba
151c888100
hex12b815d4

314054100 has 54 divisors (see below), whose sum is σ = 984387950. Its totient is φ = 83747520.

The previous prime is 314054071. The next prime is 314054123. The reversal of 314054100 is 1450413.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 73307844 + 240746256 = 8562^2 + 15516^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 173575 + ... + 175374.

Almost surely, 2314054100 is an apocalyptic number.

314054100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314054100 is an abundant number, since it is smaller than the sum of its proper divisors (670333850).

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

314054100 is a wasteful number, since it uses less digits than its factorization.

314054100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348969 (or 348959 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 314054100 is about 17721.5716007356. The cubic root of 314054100 is about 679.7274715296.

The spelling of 314054100 in words is "three hundred fourteen million, fifty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 348949 697898 1046847 1395796 1744745 2093694 3140541 3489490 4187388 5234235 6281082 6978980 8723725 10468470 12562164 15702705 17447450 20936940 26171175 31405410 34894900 52342350 62810820 78513525 104684700 157027050 314054100