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1604322664 = 237313724977
BaseRepresentation
bin101111110100000…
…0000010101101000
311010210211000221221
41133220000111220
511241201311124
6423110111424
754520342360
oct13750002550
94123730857
101604322664
117536643aa
1238934b574
131c74ba469
141130db9a0
1595ca4ce4
hex5fa00568

1604322664 has 64 divisors (see below), whose sum is σ = 3644789760. Its totient is φ = 647377920.

The previous prime is 1604322653. The next prime is 1604322689. The reversal of 1604322664 is 4662234061.

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 15 ways as a sum of consecutive naturals, for example, 51744 + ... + 76720.

It is an arithmetic number, because the mean of its divisors is an integer number (56949840).

Almost surely, 21604322664 is an apocalyptic number.

1604322664 is a gapful number since it is divisible by the number (14) 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 1604322664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822394880).

1604322664 is an abundant number, since it is smaller than the sum of its proper divisors (2040467096).

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

1604322664 is a wasteful number, since it uses less digits than its factorization.

1604322664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25058 (or 25054 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 1604322664 is about 40053.9968542466. The cubic root of 1604322664 is about 1170.6594436734.

The spelling of 1604322664 in words is "one billion, six hundred four million, three hundred twenty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 31 37 56 62 74 124 148 217 248 259 296 434 518 868 1036 1147 1736 2072 2294 4588 8029 9176 16058 24977 32116 49954 64232 99908 174839 199816 349678 699356 774287 924149 1398712 1548574 1848298 3097148 3696596 5420009 6194296 6469043 7393192 10840018 12938086 21680036 25876172 28648619 43360072 51752344 57297238 114594476 200540333 229188952 401080666 802161332 1604322664