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314530440 = 23357374441
BaseRepresentation
bin10010101111110…
…101101010001000
3210220211210122120
4102233311222020
51121004433230
651113251240
710536315240
oct2257655210
9726753576
10314530440
111515a9414
1289403b20
13502177b3
142dab6b20
151c92e310
hex12bf5a88

314530440 has 64 divisors (see below), whose sum is σ = 1078392960. Its totient is φ = 71892480.

The previous prime is 314530421. The next prime is 314530441. The reversal of 314530440 is 44035413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 314530440.

It is not an unprimeable number, because it can be changed into a prime (314530441) 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, 186381 + ... + 188060.

It is an arithmetic number, because the mean of its divisors is an integer number (16849890).

Almost surely, 2314530440 is an apocalyptic number.

314530440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314530440 is an abundant number, since it is smaller than the sum of its proper divisors (763862520).

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

314530440 is a wasteful number, since it uses less digits than its factorization.

314530440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374462 (or 374458 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 314530440 is about 17735.0060614594. The cubic root of 314530440 is about 680.0709556869.

Adding to 314530440 its reverse (44035413), we get a palindrome (358565853).

The spelling of 314530440 in words is "three hundred fourteen million, five hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 374441 748882 1123323 1497764 1872205 2246646 2621087 2995528 3744410 4493292 5242174 5616615 7488820 7863261 8986584 10484348 11233230 13105435 14977640 15726522 20968696 22466460 26210870 31453044 39316305 44932920 52421740 62906088 78632610 104843480 157265220 314530440