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1341909504 = 29341319131
BaseRepresentation
bin100111111111011…
…1110101000000000
310110112001001210000
41033332332220000
510222012101004
6341053440000
745153020415
oct11776765000
93415031700
101341909504
11629522521
123154a0000
1318501c9c0
14ca31010c
157cc1cc39
hex4ffbea00

1341909504 has 400 divisors, whose sum is σ = 4575019680. Its totient is φ = 388177920.

The previous prime is 1341909497. The next prime is 1341909509. The reversal of 1341909504 is 4059091431.

It is a happy number.

1341909504 is a `hidden beast` number, since 134 + 19 + 0 + 9 + 504 = 666.

It is a super-2 number, since 2×13419095042 = 3601442233851052032, 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 (1341909509) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 10243519 + ... + 10243649.

Almost surely, 21341909504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341909504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287509840).

1341909504 is an abundant number, since it is smaller than the sum of its proper divisors (3233110176).

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

1341909504 is a wasteful number, since it uses less digits than its factorization.

1341909504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1341909504 is about 36632.0829874579. The cubic root of 1341909504 is about 1102.9971990382.

The spelling of 1341909504 in words is "one billion, three hundred forty-one million, nine hundred nine thousand, five hundred four".