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470165344 = 25112313917
BaseRepresentation
bin11100000001100…
…010011101100000
31012202200212121021
4130001202131200
51430330242334
6114353135224
714436224305
oct3401423540
91182625537
10470165344
1122143a200
1211155a514
137653a45c
144662b0ac
152b4233b4
hex1c062760

470165344 has 72 divisors (see below), whose sum is σ = 1050525504. Its totient is φ = 206764800.

The previous prime is 470165329. The next prime is 470165357. The reversal of 470165344 is 443561074.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 118074 + ... + 121990.

It is an arithmetic number, because the mean of its divisors is an integer number (14590632).

Almost surely, 2470165344 is an apocalyptic number.

470165344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470165344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525262752).

470165344 is an abundant number, since it is smaller than the sum of its proper divisors (580360160).

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

470165344 is a wasteful number, since it uses less digits than its factorization.

470165344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 470165344 is about 21683.2964283570. The cubic root of 470165344 is about 777.5891725420.

The spelling of 470165344 in words is "four hundred seventy million, one hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 121 124 176 242 248 341 352 484 496 682 968 992 1364 1936 2728 3751 3872 3917 5456 7502 7834 10912 15004 15668 30008 31336 43087 60016 62672 86174 120032 121427 125344 172348 242854 344696 473957 485708 689392 947914 971416 1335697 1378784 1895828 1942832 2671394 3791656 3885664 5342788 7583312 10685576 14692667 15166624 21371152 29385334 42742304 58770668 117541336 235082672 470165344