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323568144 = 243214992
BaseRepresentation
bin10011010010010…
…100001000010000
3211112211222001100
4103102110020100
51130313140034
652035104400
711006166234
oct2322241020
9745758040
10323568144
11156711599
1290442100
1352060353
1430d8a5c4
151d617099
hex13494210

323568144 has 45 divisors (see below), whose sum is σ = 906145903. Its totient is φ = 107784096.

The previous prime is 323568137. The next prime is 323568151. The reversal of 323568144 is 441865323.

The square root of 323568144 is 17988.

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

It is an interprime number because it is at equal distance from previous prime (323568137) and next prime (323568151).

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 323568099 and 323568108.

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, 215107 + ... + 216605.

Almost surely, 2323568144 is an apocalyptic number.

323568144 is the 17988-th square number.

It is an amenable number.

323568144 is an abundant number, since it is smaller than the sum of its proper divisors (582577759).

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

323568144 is an equidigital number, since it uses as much as digits as its factorization.

323568144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 1504 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The cubic root of 323568144 is about 686.5232544731.

Multiplying 323568144 by its sum of digits (36), we get a square (11648453184 = 1079282).

323568144 divided by its sum of digits (36) gives a square (8988004 = 29982).

The spelling of 323568144 in words is "three hundred twenty-three million, five hundred sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1499 2998 4497 5996 8994 11992 13491 17988 23984 26982 35976 53964 71952 107928 215856 2247001 4494002 6741003 8988004 13482006 17976008 20223009 26964012 35952016 40446018 53928024 80892036 107856048 161784072 323568144