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325407104 = 2711239967
BaseRepresentation
bin10011011001010…
…101000110000000
3211200022101121222
4103121111012000
51131301011404
652142334212
711030625521
oct2331250600
9750271558
10325407104
111577581a0
1290b8a368
13525553a9
1431308848
151d87bdbe
hex13655180

325407104 has 64 divisors (see below), whose sum is σ = 710899200. Its totient is φ = 147141120.

The previous prime is 325407097. The next prime is 325407107. The reversal of 325407104 is 401704523.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325407107) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 336029 + ... + 336995.

It is an arithmetic number, because the mean of its divisors is an integer number (11107800).

Almost surely, 2325407104 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 325407104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355449600).

325407104 is an abundant number, since it is smaller than the sum of its proper divisors (385492096).

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

325407104 is a wasteful number, since it uses less digits than its factorization.

325407104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 325407104 is about 18039.0438771017. The cubic root of 325407104 is about 687.8213886447.

The spelling of 325407104 in words is "three hundred twenty-five million, four hundred seven thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 239 352 478 704 956 967 1408 1912 1934 2629 3824 3868 5258 7648 7736 10516 10637 15296 15472 21032 21274 30592 30944 42064 42548 61888 84128 85096 123776 168256 170192 231113 336512 340384 462226 680768 924452 1361536 1848904 2542243 3697808 5084486 7395616 10168972 14791232 20337944 29582464 40675888 81351776 162703552 325407104