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7940328 = 23311191583
BaseRepresentation
bin11110010010100011101000
3112221102002020
4132102203220
54013042303
6442104440
7124330434
oct36224350
915842066
107940328
114533760
1227ab120
131850226
1410a99c4
15a6ca53
hex7928e8

7940328 has 64 divisors (see below), whose sum is σ = 22809600. Its totient is φ = 2278080.

The previous prime is 7940327. The next prime is 7940329. The reversal of 7940328 is 8230497.

It is an interprime number because it is at equal distance from previous prime (7940327) and next prime (7940329).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7940327) 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 15 ways as a sum of consecutive naturals, for example, 4225 + ... + 5807.

It is an arithmetic number, because the mean of its divisors is an integer number (356400).

Almost surely, 27940328 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 7940328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11404800).

7940328 is an abundant number, since it is smaller than the sum of its proper divisors (14869272).

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

7940328 is a wasteful number, since it uses less digits than its factorization.

7940328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 7940328 is about 2817.8587615422. The cubic root of 7940328 is about 199.5014918136.

The spelling of 7940328 in words is "seven million, nine hundred forty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1583 1672 2508 3166 4749 5016 6332 9498 12664 17413 18996 30077 34826 37992 52239 60154 69652 90231 104478 120308 139304 180462 208956 240616 330847 360924 417912 661694 721848 992541 1323388 1985082 2646776 3970164 7940328