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40374012 = 22371941617
BaseRepresentation
bin1001101000000…
…0111011111100
32210222012201210
42122000323330
540313432022
64001204420
71000113330
oct232007374
983865653
1040374012
1120876658
1211630710
138497b63
14550d7c0
153827a0c
hex2680efc

40374012 has 96 divisors (see below), whose sum is σ = 116282880. Its totient is φ = 10644480.

The previous prime is 40373951. The next prime is 40374029. The reversal of 40374012 is 21047304.

40374012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×403740122 = 3260121689952288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 40374012.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 65128 + ... + 65744.

It is an arithmetic number, because the mean of its divisors is an integer number (1211280).

Almost surely, 240374012 is an apocalyptic number.

40374012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40374012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58141440).

40374012 is an abundant number, since it is smaller than the sum of its proper divisors (75908868).

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

40374012 is a wasteful number, since it uses less digits than its factorization.

40374012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 40374012 is about 6354.0547684136. The cubic root of 40374012 is about 343.0578034710.

The spelling of 40374012 in words is "forty million, three hundred seventy-four thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 41 42 57 76 82 84 114 123 133 164 228 246 266 287 399 492 532 574 617 779 798 861 1148 1234 1558 1596 1722 1851 2337 2468 3116 3444 3702 4319 4674 5453 7404 8638 9348 10906 11723 12957 16359 17276 21812 23446 25297 25914 32718 35169 46892 50594 51828 65436 70338 75891 82061 101188 140676 151782 164122 177079 246183 303564 328244 354158 480643 492366 531237 708316 961286 984732 1062474 1441929 1922572 2124948 2883858 3364501 5767716 6729002 10093503 13458004 20187006 40374012