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564406434 = 23353197207
BaseRepresentation
bin100001101001000…
…010100010100010
31110100000211002000
4201221002202202
52123442001214
6132001104430
716662242544
oct4151024242
91410024060
10564406434
1126a6579a9
12139028116
138cc15907
1454d5d694
153483b809
hex21a428a2

564406434 has 32 divisors (see below), whose sum is σ = 1277907840. Its totient is φ = 184584816.

The previous prime is 564406417. The next prime is 564406471. The reversal of 564406434 is 434604465.

564406434 is a `hidden beast` number, since 5 + 6 + 4 + 4 + 0 + 643 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95742 + ... + 101465.

It is an arithmetic number, because the mean of its divisors is an integer number (39934620).

Almost surely, 2564406434 is an apocalyptic number.

564406434 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

564406434 is an abundant number, since it is smaller than the sum of its proper divisors (713501406).

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

564406434 is a wasteful number, since it uses less digits than its factorization.

564406434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197271 (or 197265 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 564406434 is about 23757.2396123792. The cubic root of 564406434 is about 826.4133393546.

The spelling of 564406434 in words is "five hundred sixty-four million, four hundred six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1431 2862 197207 394414 591621 1183242 1774863 3549726 5324589 10451971 10649178 20903942 31355913 62711826 94067739 188135478 282203217 564406434