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1334000640 = 21035719653
BaseRepresentation
bin100111110000011…
…0011110000000000
310102222011020212010
41033200303300000
510213001010030
6340212132520
745025550460
oct11740636000
93388136763
101334000640
11625010475
12312907140
131834b0bbb
14c9251ba0
157c1a96b0
hex4f833c00

1334000640 has 352 divisors, whose sum is σ = 5140753920. Its totient is φ = 288423936.

The previous prime is 1334000623. The next prime is 1334000663. The reversal of 1334000640 is 460004331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2042554 + ... + 2043206.

Almost surely, 21334000640 is an apocalyptic number.

1334000640 is a gapful number since it is divisible by the number (10) 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 1334000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570376960).

1334000640 is an abundant number, since it is smaller than the sum of its proper divisors (3806753280).

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

1334000640 is a wasteful number, since it uses less digits than its factorization.

1334000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1334000640 is about 36523.9734968691. The cubic root of 1334000640 is about 1100.8260021801.

Adding to 1334000640 its reverse (460004331), we get a palindrome (1794004971).

The spelling of 1334000640 in words is "one billion, three hundred thirty-four million, six hundred forty", and thus it is an aban number.