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3204465664 = 210292612
BaseRepresentation
bin1011111100000000…
…0100010000000000
322021022202201111111
42333000010100000
523030320400124
61245550453104
7142260336331
oct27700042000
98238681444
103204465664
1113a4923534
12755204194
133c0b7333a
1422582c288
1513b4d1494
hexbf004400

3204465664 has 99 divisors (see below), whose sum is σ = 6744850671. Its totient is φ = 1521623040.

The previous prime is 3204465661. The next prime is 3204465769. The reversal of 3204465664 is 4665644023.

The square root of 3204465664 is 56608.

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

It can be written as a sum of positive squares in 4 ways, for example, as 961496064 + 2242969600 = 31008^2 + 47360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3204465661) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52532194 + ... + 52532254.

Almost surely, 23204465664 is an apocalyptic number.

3204465664 is the 56608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3204465664

3204465664 is an abundant number, since it is smaller than the sum of its proper divisors (3540385007).

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

3204465664 is an frugal number, since it uses more digits than its factorization.

3204465664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The cubic root of 3204465664 is about 1474.2977661186.

The spelling of 3204465664 in words is "three billion, two hundred four million, four hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 61 64 116 122 128 232 244 256 464 488 512 841 928 976 1024 1682 1769 1856 1952 3364 3538 3712 3721 3904 6728 7076 7424 7442 7808 13456 14152 14848 14884 15616 26912 28304 29696 29768 31232 51301 53824 56608 59536 62464 102602 107648 107909 113216 119072 205204 215296 215818 226432 238144 410408 430592 431636 452864 476288 820816 861184 863272 905728 952576 1641632 1726544 1811456 1905152 3129361 3283264 3453088 3810304 6258722 6566528 6906176 12517444 13133056 13812352 25034888 26266112 27624704 50069776 52532224 55249408 100139552 110498816 200279104 400558208 801116416 1602232832 3204465664