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40340344 = 231119231049
BaseRepresentation
bin1001100111100…
…0101101111000
32210220111112211
42121320231320
540311342334
64000344504
7666613222
oct231705570
983814484
1040340344
1120853330
1211615134
138485735
145501412
15381ca64
hex2678b78

40340344 has 64 divisors (see below), whose sum is σ = 90720000. Its totient is φ = 16600320.

The previous prime is 40340329. The next prime is 40340347. The reversal of 40340344 is 44304304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40340347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37932 + ... + 38980.

It is an arithmetic number, because the mean of its divisors is an integer number (1417500).

Almost surely, 240340344 is an apocalyptic number.

40340344 is a gapful number since it is divisible by the number (44) 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 40340344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360000).

40340344 is an abundant number, since it is smaller than the sum of its proper divisors (50379656).

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

40340344 is a wasteful number, since it uses less digits than its factorization.

40340344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 40340344 is about 6351.4048839607. The cubic root of 40340344 is about 342.9624180024.

Adding to 40340344 its reverse (44304304), we get a palindrome (84644648).

The spelling of 40340344 in words is "forty million, three hundred forty thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 19 22 23 38 44 46 76 88 92 152 184 209 253 418 437 506 836 874 1012 1049 1672 1748 2024 2098 3496 4196 4807 8392 9614 11539 19228 19931 23078 24127 38456 39862 46156 48254 79724 92312 96508 159448 193016 219241 265397 438482 458413 530794 876964 916826 1061588 1753928 1833652 2123176 3667304 5042543 10085086 20170172 40340344