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1357434940 = 2255310312433
BaseRepresentation
bin101000011101000…
…1101000000111100
310111121020211200011
41100322031000330
510240000404230
6342410313004
745432002161
oct12072150074
93447224604
101357434940
11637266a64
1231a728764
131882c7554
14cc3d2068
157e287e2a
hex50e8d03c

1357434940 has 48 divisors (see below), whose sum is σ = 2932832448. Its totient is φ = 527514624.

The previous prime is 1357434863. The next prime is 1357434961. The reversal of 1357434940 is 494347531.

It is a junction number, because it is equal to n+sod(n) for n = 1357434893 and 1357434902.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 102964 + ... + 115396.

It is an arithmetic number, because the mean of its divisors is an integer number (61100676).

Almost surely, 21357434940 is an apocalyptic number.

1357434940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1357434940 is an abundant number, since it is smaller than the sum of its proper divisors (1575397508).

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

1357434940 is a wasteful number, since it uses less digits than its factorization.

1357434940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12598 (or 12596 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 1357434940 is about 36843.3839379610. The cubic root of 1357434940 is about 1107.2346661253.

The spelling of 1357434940 in words is "one billion, three hundred fifty-seven million, four hundred thirty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 53 103 106 206 212 265 412 515 530 1030 1060 2060 5459 10918 12433 21836 24866 27295 49732 54590 62165 109180 124330 248660 658949 1280599 1317898 2561198 2635796 3294745 5122396 6402995 6589490 12805990 13178980 25611980 67871747 135743494 271486988 339358735 678717470 1357434940