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1357701408 = 253272234789
BaseRepresentation
bin101000011101100…
…1110000100100000
310111121202101012100
41100323032010200
510240032421113
6342420130400
745434162100
oct12073160440
93447671170
101357701408
11637429188
1231a836a00
1318838b91b
14cc461200
157e2dbd73
hex50ece120

1357701408 has 432 divisors, whose sum is σ = 4840093440. Its totient is φ = 359073792.

The previous prime is 1357701407. The next prime is 1357701463. The reversal of 1357701408 is 8041077531.

It is a Cunningham number, because it is equal to 368472-1.

It is a super-2 number, since 2×13577014082 = 3686706226570364928, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1357701403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15255028 + ... + 15255116.

It is an arithmetic number, because the mean of its divisors is an integer number (11203920).

Almost surely, 21357701408 is an apocalyptic number.

1357701408 is a gapful number since it is divisible by the number (18) 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 1357701408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420046720).

1357701408 is an abundant number, since it is smaller than the sum of its proper divisors (3482392032).

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

1357701408 is a wasteful number, since it uses less digits than its factorization.

1357701408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1357701408 is about 36846.9999864304. Note that the first 4 decimals coincide. The cubic root of 1357701408 is about 1107.3071123974.

Adding to 1357701408 its reverse (8041077531), we get a palindrome (9398778939).

The spelling of 1357701408 in words is "one billion, three hundred fifty-seven million, seven hundred one thousand, four hundred eight".