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319265424 = 243214892
BaseRepresentation
bin10011000001111…
…001101010010000
3211020202100211100
4103001321222100
51123212443144
651402544400
710624465662
oct2301715220
9736670740
10319265424
11154242925
128ab08100
13511b4a6a
143058a532
151d067269
hex13079a90

319265424 has 45 divisors (see below), whose sum is σ = 894100233. Its totient is φ = 106350336.

The previous prime is 319265383. The next prime is 319265449. The reversal of 319265424 is 424562913.

It is a happy number.

The square root of 319265424 is 17868.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 68359824 + 250905600 = 8268^2 + 15840^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 213672 + ... + 215160.

Almost surely, 2319265424 is an apocalyptic number.

319265424 is the 17868-th square number.

It is an amenable number.

319265424 is an abundant number, since it is smaller than the sum of its proper divisors (574834809).

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

319265424 is an equidigital number, since it uses as much as digits as its factorization.

319265424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 1494 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The cubic root of 319265424 is about 683.4665996411.

Multiplying 319265424 by its sum of digits (36), we get a square (11493555264 = 1072082).

319265424 divided by its sum of digits (36) gives a square (8868484 = 29782).

The spelling of 319265424 in words is "three hundred nineteen million, two hundred sixty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1489 2978 4467 5956 8934 11912 13401 17868 23824 26802 35736 53604 71472 107208 214416 2217121 4434242 6651363 8868484 13302726 17736968 19954089 26605452 35473936 39908178 53210904 79816356 106421808 159632712 319265424