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1334320344 = 2333717233761
BaseRepresentation
bin100111110001000…
…0001110011011000
310102222202111102000
41033202001303120
510213041222334
6340223041000
745031351530
oct11742016330
93388674360
101334320344
11625209695
12312a40160
13183593586
14c92d64c0
157c21e299
hex4f881cd8

1334320344 has 512 divisors, whose sum is σ = 4885401600. Its totient is φ = 328458240.

The previous prime is 1334320333. The next prime is 1334320369. The reversal of 1334320344 is 4430234331.

1334320344 is a `hidden beast` number, since 1 + 334 + 320 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21874074 + ... + 21874134.

It is an arithmetic number, because the mean of its divisors is an integer number (9541800).

Almost surely, 21334320344 is an apocalyptic number.

1334320344 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 1334320344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442700800).

1334320344 is an abundant number, since it is smaller than the sum of its proper divisors (3551081256).

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

1334320344 is a wasteful number, since it uses less digits than its factorization.

1334320344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 1334320344 is about 36528.3498669184. The cubic root of 1334320344 is about 1100.9139357623.

Adding to 1334320344 its reverse (4430234331), we get a palindrome (5764554675).

The spelling of 1334320344 in words is "one billion, three hundred thirty-four million, three hundred twenty thousand, three hundred forty-four".