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326072440 = 235431011877
BaseRepresentation
bin10011011011110…
…111100001111000
3211201120012022001
4103123313201320
51131433304230
652204510344
711036366341
oct2333674170
9751505261
10326072440
11158072061
129124b3b4
1352729195
143143d0c8
151d95e0ca
hex136f7878

326072440 has 64 divisors (see below), whose sum is σ = 758561760. Its totient is φ = 126067200.

The previous prime is 326072429. The next prime is 326072441. The reversal of 326072440 is 44270623.

326072440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3260724402 = 212646472255107200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 326072399 and 326072408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326072441) 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 15 ways as a sum of consecutive naturals, for example, 172782 + ... + 174658.

Almost surely, 2326072440 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 326072440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379280880).

326072440 is an abundant number, since it is smaller than the sum of its proper divisors (432489320).

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

326072440 is a wasteful number, since it uses less digits than its factorization.

326072440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 326072440 is about 18057.4760141056. The cubic root of 326072440 is about 688.2898488021.

The spelling of 326072440 in words is "three hundred twenty-six million, seventy-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 101 172 202 215 344 404 430 505 808 860 1010 1720 1877 2020 3754 4040 4343 7508 8686 9385 15016 17372 18770 21715 34744 37540 43430 75080 80711 86860 161422 173720 189577 322844 379154 403555 645688 758308 807110 947885 1516616 1614220 1895770 3228440 3791540 7583080 8151811 16303622 32607244 40759055 65214488 81518110 163036220 326072440