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1357703424 = 28337112551
BaseRepresentation
bin101000011101100…
…1110100100000000
310111121202110222000
41100323032210000
510240033002144
6342420144000
745434201010
oct12073164400
93447673860
101357703424
1163742a750
1231a838000
1318838c80c
14cc461c40
157e2dc769
hex50ece900

1357703424 has 288 divisors, whose sum is σ = 5007636480. Its totient is φ = 352512000.

The previous prime is 1357703383. The next prime is 1357703467. The reversal of 1357703424 is 4243077531.

1357703424 = T221 + T222 + ... + T2012.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 530949 + ... + 533499.

Almost surely, 21357703424 is an apocalyptic number.

1357703424 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 1357703424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503818240).

1357703424 is an abundant number, since it is smaller than the sum of its proper divisors (3649933056).

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

1357703424 is a wasteful number, since it uses less digits than its factorization.

1357703424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 1357703424 is about 36847.0273427857. The cubic root of 1357703424 is about 1107.3076604634.

The spelling of 1357703424 in words is "one billion, three hundred fifty-seven million, seven hundred three thousand, four hundred twenty-four".