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40343976 = 23324383157
BaseRepresentation
bin1001100111100…
…1100110101000
32210220200112100
42121321212220
540312001401
64000413400
7666626631
oct231714650
983820470
1040343976
1120856032
1211617260
13848729a
145502888
15381db86
hex26799a8

40343976 has 96 divisors (see below), whose sum is σ = 113873760. Its totient is φ = 12894336.

The previous prime is 40343969. The next prime is 40343977. The reversal of 40343976 is 67934304.

40343976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 self number, because there is not a number n which added to its sum of digits gives 40343976.

It is not an unprimeable number, because it can be changed into a prime (40343977) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 256890 + ... + 257046.

It is an arithmetic number, because the mean of its divisors is an integer number (1186185).

Almost surely, 240343976 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 40343976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56936880).

40343976 is an abundant number, since it is smaller than the sum of its proper divisors (73529784).

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

40343976 is a wasteful number, since it uses less digits than its factorization.

40343976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 40343976 is about 6351.6907985197. The cubic root of 40343976 is about 342.9727104458.

The spelling of 40343976 in words is "forty million, three hundred forty-three thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 83 86 129 157 166 172 249 258 314 332 344 387 471 498 516 628 664 747 774 942 996 1032 1256 1413 1494 1548 1884 1992 2826 2988 3096 3569 3768 5652 5976 6751 7138 10707 11304 13031 13502 14276 20253 21414 26062 27004 28552 32121 39093 40506 42828 52124 54008 60759 64242 78186 81012 85656 104248 117279 121518 128484 156372 162024 234558 243036 256968 312744 469116 486072 560333 938232 1120666 1680999 2241332 3361998 4482664 5042997 6723996 10085994 13447992 20171988 40343976