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1334322864 = 243271323733
BaseRepresentation
bin100111110001000…
…0010011010110000
310102222202121212100
41033202002122300
510213041312424
6340223100400
745031362060
oct11742023260
93388677770
101334322864
11625210576
12312a41700
13183594774
14c92d73a0
157c21edc9
hex4f8826b0

1334322864 has 60 divisors (see below), whose sum is σ = 4267718416. Its totient is φ = 381234816.

The previous prime is 1334322853. The next prime is 1334322887. The reversal of 1334322864 is 4682234331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 660859 + ... + 662874.

Almost surely, 21334322864 is an apocalyptic number.

1334322864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1334322864 is an abundant number, since it is smaller than the sum of its proper divisors (2933395552).

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

1334322864 is a wasteful number, since it uses less digits than its factorization.

1334322864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323754 (or 1323745 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 1334322864 is about 36528.3843606585. The cubic root of 1334322864 is about 1100.9146288246.

The spelling of 1334322864 in words is "one billion, three hundred thirty-four million, three hundred twenty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1323733 2647466 3971199 5294932 7942398 9266131 10589864 11913597 15884796 18532262 21179728 23827194 27798393 31769592 37064524 47654388 55596786 63539184 74129048 83395179 95308776 111193572 148258096 166790358 190617552 222387144 333580716 444774288 667161432 1334322864