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83440944 = 2432579451
BaseRepresentation
bin1001111100100…
…11010100110000
312211000020110100
410332103110300
5132330102234
612140232400
72032144026
oct476232460
9184006410
1083440944
1143111464
1223b3b700
1314396652
14b120716
1574d3399
hex4f93530

83440944 has 30 divisors (see below), whose sum is σ = 233519156. Its totient is φ = 27813600.

The previous prime is 83440909. The next prime is 83440963. The reversal of 83440944 is 44904438.

It is a super-2 number, since 2×834409442 = 13924782271222272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 83440899 and 83440908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 289582 + ... + 289869.

Almost surely, 283440944 is an apocalyptic number.

It is an amenable number.

83440944 is an abundant number, since it is smaller than the sum of its proper divisors (150078212).

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

83440944 is a wasteful number, since it uses less digits than its factorization.

83440944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579465 (or 579456 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 83440944 is about 9134.6014691392. The cubic root of 83440944 is about 436.9781646497.

The spelling of 83440944 in words is "eighty-three million, four hundred forty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 579451 1158902 1738353 2317804 3476706 4635608 5215059 6953412 9271216 10430118 13906824 20860236 27813648 41720472 83440944