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323668480 = 295126433
BaseRepresentation
bin10011010010101…
…100101000000000
3211120001001200111
4103102230220000
51130324342410
652041201104
711010064612
oct2322545000
9746031614
10323668480
1115677aa13
1290490194
1352096c15
1430db4db2
151d636b8a
hex134aca00

323668480 has 40 divisors (see below), whose sum is σ = 776051892. Its totient is φ = 129466368.

The previous prime is 323668469. The next prime is 323668483. The reversal of 323668480 is 84866323.

It can be written as a sum of positive squares in 2 ways, for example, as 319408384 + 4260096 = 17872^2 + 2064^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3236684802 = 209522569891020800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (323668483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60657 + ... + 65776.

Almost surely, 2323668480 is an apocalyptic number.

It is an amenable number.

323668480 is an abundant number, since it is smaller than the sum of its proper divisors (452383412).

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

323668480 is an equidigital number, since it uses as much as digits as its factorization.

323668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126456 (or 126440 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The square root of 323668480 is about 17990.7887542487. The cubic root of 323668480 is about 686.5942090049.

The spelling of 323668480 in words is "three hundred twenty-three million, six hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 126433 252866 505732 632165 1011464 1264330 2022928 2528660 4045856 5057320 8091712 10114640 16183424 20229280 32366848 40458560 64733696 80917120 161834240 323668480