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315142440 = 233514931759
BaseRepresentation
bin10010110010001…
…011000100101000
3210221222220011020
4102302023010220
51121134024230
651134332440
710544444424
oct2262130450
9727886136
10315142440
111519871a8
128965a120
13503a0222
142dbd5b84
151ca00810
hex12c8b128

315142440 has 64 divisors (see below), whose sum is σ = 946598400. Its totient is φ = 83933952.

The previous prime is 315142433. The next prime is 315142453. The reversal of 315142440 is 44241513.

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 315142440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178281 + ... + 180039.

It is an arithmetic number, because the mean of its divisors is an integer number (14790600).

Almost surely, 2315142440 is an apocalyptic number.

315142440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315142440 is an abundant number, since it is smaller than the sum of its proper divisors (631455960).

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

315142440 is a wasteful number, since it uses less digits than its factorization.

315142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 315142440 is about 17752.2516881662. The cubic root of 315142440 is about 680.5117543291.

Adding to 315142440 its reverse (44241513), we get a palindrome (359383953).

The spelling of 315142440 in words is "three hundred fifteen million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1493 1759 2986 3518 4479 5277 5972 7036 7465 8795 8958 10554 11944 14072 14930 17590 17916 21108 22395 26385 29860 35180 35832 42216 44790 52770 59720 70360 89580 105540 179160 211080 2626187 5252374 7878561 10504748 13130935 15757122 21009496 26261870 31514244 39392805 52523740 63028488 78785610 105047480 157571220 315142440