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40939344 = 2434311019
BaseRepresentation
bin1001110000101…
…0111101010000
32212000221020000
42130022331100
540440024334
64021250000
71004656455
oct234127520
985027200
1040939344
1121122376
1211863900
138635284
14561982c
1538da299
hex270af50

40939344 has 100 divisors (see below), whose sum is σ = 122432640. Its totient is φ = 13193280.

The previous prime is 40939321. The next prime is 40939363. The reversal of 40939344 is 44393904.

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 = 40939299 and 40939308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39667 + ... + 40685.

Almost surely, 240939344 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 40939344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61216320).

40939344 is an abundant number, since it is smaller than the sum of its proper divisors (81493296).

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

40939344 is a wasteful number, since it uses less digits than its factorization.

40939344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 40939344 is about 6398.3860464964. The cubic root of 40939344 is about 344.6515953455.

The spelling of 40939344 in words is "forty million, nine hundred thirty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 248 279 324 372 432 496 558 648 744 837 1019 1116 1296 1488 1674 2038 2232 2511 3057 3348 4076 4464 5022 6114 6696 8152 9171 10044 12228 13392 16304 18342 20088 24456 27513 31589 36684 40176 48912 55026 63178 73368 82539 94767 110052 126356 146736 165078 189534 220104 252712 284301 330156 379068 440208 505424 568602 660312 758136 852903 1137204 1320624 1516272 1705806 2274408 2558709 3411612 4548816 5117418 6823224 10234836 13646448 20469672 40939344