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40387356 = 22332371229
BaseRepresentation
bin1001101000010…
…0001100011100
32210222220001000
42122010030130
540314343411
64001350300
71000200252
oct232041434
983886030
1040387356
1120885689
1211638390
1384a0c59
1455145d2
15382b956
hex268431c

40387356 has 96 divisors (see below), whose sum is σ = 111283200. Its totient is φ = 12640320.

The previous prime is 40387349. The next prime is 40387357. The reversal of 40387356 is 65378304.

It is a happy number.

It is a super-2 number, since 2×403873562 = 3262277049341472, which contains 22 as substring.

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 40387356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40387357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176250 + ... + 176478.

It is an arithmetic number, because the mean of its divisors is an integer number (1159200).

Almost surely, 240387356 is an apocalyptic number.

40387356 is a gapful number since it is divisible by the number (46) 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 40387356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55641600).

40387356 is an abundant number, since it is smaller than the sum of its proper divisors (70895844).

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

40387356 is a wasteful number, since it uses less digits than its factorization.

40387356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 40387356 is about 6355.1047198296. The cubic root of 40387356 is about 343.0955939445.

The spelling of 40387356 in words is "forty million, three hundred eighty-seven thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 71 92 108 138 142 207 213 229 276 284 414 426 458 621 639 687 828 852 916 1242 1278 1374 1633 1917 2061 2484 2556 2748 3266 3834 4122 4899 5267 6183 6532 7668 8244 9798 10534 12366 14697 15801 16259 19596 21068 24732 29394 31602 32518 44091 47403 48777 58788 63204 65036 88182 94806 97554 142209 146331 176364 189612 195108 284418 292662 373957 438993 568836 585324 747914 877986 1121871 1495828 1755972 2243742 3365613 4487484 6731226 10096839 13462452 20193678 40387356