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34897228864 = 2619212292
BaseRepresentation
bin100000100000000010…
…010111010001000000
310100002001021220102221
4200200002113101000
51032432142310424
624010452420424
72343533360011
oct404002272100
9110061256387
1034897228864
1113888637613
12691b017714
1333a1b4ca64
1419909d7008
15d93a2e9e4
hex820097440

34897228864 has 63 divisors (see below), whose sum is σ = 73145224677. Its totient is φ = 16516816128.

The previous prime is 34897228853. The next prime is 34897228871. The reversal of 34897228864 is 46882279843.

The square root of 34897228864 is 186808.

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., 34444390464 + 452838400 = 185592^2 + 21280^2 .

It is a Duffinian number.

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, 28394202 + ... + 28395430.

Almost surely, 234897228864 is an apocalyptic number.

34897228864 is the 186808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34897228864

34897228864 is an abundant number, since it is smaller than the sum of its proper divisors (38247995813).

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

34897228864 is an frugal number, since it uses more digits than its factorization.

34897228864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 1250 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 61.

The spelling of 34897228864 in words is "thirty-four billion, eight hundred ninety-seven million, two hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1229 1444 2458 2888 4916 5776 9832 11552 19664 23104 23351 39328 46702 78656 93404 186808 373616 443669 747232 887338 1494464 1510441 1774676 3020882 3549352 6041764 7098704 12083528 14197408 24167056 28394816 28698379 48334112 57396758 96668224 114793516 229587032 459174064 545269201 918348128 1090538402 1836696256 2181076804 4362153608 8724307216 17448614432 34897228864