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564678348 = 223132383727
BaseRepresentation
bin100001101010000…
…100111011001100
31110100112122001220
4201222010323030
52124024201343
6132011003340
716664454363
oct4152047314
91410478056
10564678348
1126a823223
12139139550
138ccac600
1454dd07da
1534892183
hex21a84ecc

564678348 has 72 divisors (see below), whose sum is σ = 1432424448. Its totient is φ = 173055168.

The previous prime is 564678329. The next prime is 564678353. The reversal of 564678348 is 843876465.

It is a self number, because there is not a number n which added to its sum of digits gives 564678348.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 776361 + ... + 777087.

It is an arithmetic number, because the mean of its divisors is an integer number (19894784).

Almost surely, 2564678348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564678348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716212224).

564678348 is an abundant number, since it is smaller than the sum of its proper divisors (867746100).

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

564678348 is a wasteful number, since it uses less digits than its factorization.

564678348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1128 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The square root of 564678348 is about 23762.9616840999. The cubic root of 564678348 is about 826.5460317232.

The spelling of 564678348 in words is "five hundred sixty-four million, six hundred seventy-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 383 507 676 727 766 1014 1149 1454 1532 2028 2181 2298 2908 4362 4596 4979 8724 9451 9958 14937 18902 19916 28353 29874 37804 56706 59748 64727 113412 122863 129454 194181 245726 258908 278441 368589 388362 491452 556882 737178 776724 835323 1113764 1474356 1670646 3341292 3619733 7239466 10859199 14478932 21718398 43436796 47056529 94113058 141169587 188226116 282339174 564678348