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1334136960 = 27335135939
BaseRepresentation
bin100111110000101…
…0101000010000000
310102222102011212000
41033201111002000
510213014340320
6340215104000
745026656062
oct11741250200
93388364760
101334136960
116250a3932
12312972000
1318352ac70
14c9289732
157c1d4c90
hex4f855080

1334136960 has 256 divisors, whose sum is σ = 5089392000. Its totient is φ = 328347648.

The previous prime is 1334136943. The next prime is 1334136989. The reversal of 1334136960 is 696314331.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221671 + ... + 227609.

Almost surely, 21334136960 is an apocalyptic number.

1334136960 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 1334136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544696000).

1334136960 is an abundant number, since it is smaller than the sum of its proper divisors (3755255040).

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

1334136960 is a wasteful number, since it uses less digits than its factorization.

1334136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5980 (or 5962 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 1334136960 is about 36525.8396207397. The cubic root of 1334136960 is about 1100.8634982864.

The spelling of 1334136960 in words is "one billion, three hundred thirty-four million, one hundred thirty-six thousand, nine hundred sixty".