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325959480 = 2332571121069
BaseRepresentation
bin10011011011011…
…011111100111000
3211201100110100100
4103123123330320
51131421200410
652202235400
711035416120
oct2333337470
9751313310
10325959480
11157aa5200
12911b5b60
13526b9942
143140dc80
151d93a8c0
hex136dbf38

325959480 has 288 divisors, whose sum is σ = 1332021600. Its totient is φ = 67668480.

The previous prime is 325959467. The next prime is 325959481. The reversal of 325959480 is 84959523.

325959480 is a `hidden beast` number, since 3 + 2 + 59 + 594 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325959481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 304386 + ... + 305454.

It is an arithmetic number, because the mean of its divisors is an integer number (4625075).

Almost surely, 2325959480 is an apocalyptic number.

325959480 is a gapful number since it is divisible by the number (30) 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 325959480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666010800).

325959480 is an abundant number, since it is smaller than the sum of its proper divisors (1006062120).

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

325959480 is a wasteful number, since it uses less digits than its factorization.

325959480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 325959480 is about 18054.3479527786. The cubic root of 325959480 is about 688.2103591023.

It can be divided in two parts, 325 and 959480, that added together give a triangular number (959805 = T1385).

The spelling of 325959480 in words is "three hundred twenty-five million, nine hundred fifty-nine thousand, four hundred eighty".