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283920372 = 223223342899
BaseRepresentation
bin10000111011000…
…100011111110100
3201210020122112100
4100323010133310
51040140422442
644101222100
710015166121
oct2073043764
9653218470
10283920372
111362a163a
127b101930
1346a8ac28
14299c9748
1519dd484c
hex10ec47f4

283920372 has 36 divisors (see below), whose sum is σ = 748893600. Its totient is φ = 90525072.

The previous prime is 283920359. The next prime is 283920419. The reversal of 283920372 is 273029382.

283920372 is a `hidden beast` number, since 283 + 9 + 2 + 0 + 372 = 666.

283920372 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2839203722 = 161221555273236768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

283920372 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170622 + ... + 172277.

It is an arithmetic number, because the mean of its divisors is an integer number (20802600).

Almost surely, 2283920372 is an apocalyptic number.

It is an amenable number.

283920372 is an abundant number, since it is smaller than the sum of its proper divisors (464973228).

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

283920372 is a wasteful number, since it uses less digits than its factorization.

283920372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342932 (or 342927 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 283920372 is about 16849.9368544811. The cubic root of 283920372 is about 657.2524067882.

It can be divided in two parts, 28 and 3920372, that added together give a square (3920400 = 19802).

The spelling of 283920372 in words is "two hundred eighty-three million, nine hundred twenty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 342899 685798 1028697 1371596 2057394 3086091 4114788 6172182 7886677 12344364 15773354 23660031 31546708 47320062 70980093 94640124 141960186 283920372