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326039040 = 293355389
BaseRepresentation
bin10011011011101…
…111011000000000
3211201111111111000
4103123233120000
51131431222130
652204052000
711036200065
oct2333573000
9751444430
10326039040
11158049a58
1291234000
1352716c12
1431430c6c
151d954260
hex136ef600

326039040 has 320 divisors, whose sum is σ = 1193227200. Its totient is φ = 84344832.

The previous prime is 326039017. The next prime is 326039057. The reversal of 326039040 is 40930623.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 326038995 and 326039013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3663316 + ... + 3663404.

It is an arithmetic number, because the mean of its divisors is an integer number (3728835).

Almost surely, 2326039040 is an apocalyptic number.

326039040 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 326039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596613600).

326039040 is an abundant number, since it is smaller than the sum of its proper divisors (867188160).

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

326039040 is an equidigital number, since it uses as much as digits as its factorization.

326039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 326039040 is about 18056.5511657127. The cubic root of 326039040 is about 688.2663472085.

Adding to 326039040 its reverse (40930623), we get a palindrome (366969663).

The spelling of 326039040 in words is "three hundred twenty-six million, thirty-nine thousand, forty".