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40102344 = 23333153113
BaseRepresentation
bin1001100011111…
…0100111001000
32210110102002000
42120332213020
540231233334
63551311000
7664602312
oct230764710
983412060
1040102344
1120700537
121151b460
1384012c9
14547c7b2
1537c2299
hex263e9c8

40102344 has 128 divisors (see below), whose sum is σ = 118195200. Its totient is φ = 12579840.

The previous prime is 40102343. The next prime is 40102351. The reversal of 40102344 is 44320104.

40102344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40102343) 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 31 ways as a sum of consecutive naturals, for example, 354832 + ... + 354944.

It is an arithmetic number, because the mean of its divisors is an integer number (923400).

Almost surely, 240102344 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 40102344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59097600).

40102344 is an abundant number, since it is smaller than the sum of its proper divisors (78092856).

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

40102344 is a wasteful number, since it uses less digits than its factorization.

40102344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40102344 is about 6332.6411551579. The cubic root of 40102344 is about 342.2866172245.

Adding to 40102344 its reverse (44320104), we get a palindrome (84422448).

The spelling of 40102344 in words is "forty million, one hundred two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 53 54 62 72 93 106 108 113 124 159 186 212 216 226 248 279 318 339 372 424 452 477 558 636 678 744 837 904 954 1017 1116 1272 1356 1431 1643 1674 1908 2034 2232 2712 2862 3051 3286 3348 3503 3816 4068 4929 5724 5989 6102 6572 6696 7006 8136 9858 10509 11448 11978 12204 13144 14012 14787 17967 19716 21018 23956 24408 28024 29574 31527 35934 39432 42036 44361 47912 53901 59148 63054 71868 84072 88722 94581 107802 118296 126108 143736 161703 177444 185659 189162 215604 252216 323406 354888 371318 378324 431208 556977 646812 742636 756648 1113954 1293624 1485272 1670931 2227908 3341862 4455816 5012793 6683724 10025586 13367448 20051172 40102344