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1353432690 = 232561724373
BaseRepresentation
bin101000010101011…
…1011111001110010
310111022201111121200
41100222323321302
510232434321230
6342144432030
745352662621
oct12052737162
93438644550
101353432690
11634a83015
12319318616
1318752595c
14cba6d6b8
157dc47160
hex50abbe72

1353432690 has 48 divisors (see below), whose sum is σ = 3524772888. Its totient is φ = 360315648.

The previous prime is 1353432671. The next prime is 1353432733. The reversal of 1353432690 is 962343531.

It is a happy number.

1353432690 is a `hidden beast` number, since 1 + 3 + 534 + 32 + 6 + 90 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 569824641 + 783608049 = 23871^2 + 27993^2 .

It is a super-2 number, since 2×13534326902 = 3663560092721272200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43344 + ... + 67716.

Almost surely, 21353432690 is an apocalyptic number.

1353432690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1353432690 is an abundant number, since it is smaller than the sum of its proper divisors (2171340198).

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

1353432690 is a wasteful number, since it uses less digits than its factorization.

1353432690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25003 (or 25000 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 1353432690 is about 36789.0294789085. The cubic root of 1353432690 is about 1106.1454077118.

The spelling of 1353432690 in words is "one billion, three hundred fifty-three million, four hundred thirty-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 617 1234 1851 3085 3702 5553 6170 9255 11106 18510 24373 27765 48746 55530 73119 121865 146238 219357 243730 365595 438714 731190 1096785 2193570 15038141 30076282 45114423 75190705 90228846 135343269 150381410 225572115 270686538 451144230 676716345 1353432690