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40239342 = 2361113193
BaseRepresentation
bin1001100110000…
…0000011101110
32210201101000000
42121200003232
540300124332
63554245130
7666012603
oct231400356
983641000
1040239342
1120794460
12115867a6
13844b780
1454b66aa
1537ecb7c
hex26600ee

40239342 has 112 divisors (see below), whose sum is σ = 106869168. Its totient is φ = 11197440.

The previous prime is 40239337. The next prime is 40239347. The reversal of 40239342 is 24393204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40239337) and next prime (40239347).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40239347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 208398 + ... + 208590.

It is an arithmetic number, because the mean of its divisors is an integer number (954189).

Almost surely, 240239342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40239342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434584).

40239342 is an abundant number, since it is smaller than the sum of its proper divisors (66629826).

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

40239342 is a wasteful number, since it uses less digits than its factorization.

40239342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 40239342 is about 6343.4487465416. The cubic root of 40239342 is about 342.6759484550.

The spelling of 40239342 in words is "forty million, two hundred thirty-nine thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 193 198 234 243 286 297 351 386 429 486 579 594 702 729 858 891 1053 1158 1287 1458 1737 1782 2106 2123 2509 2574 2673 3159 3474 3861 4246 5018 5211 5346 6318 6369 7527 7722 8019 9477 10422 11583 12738 15054 15633 16038 18954 19107 22581 23166 27599 31266 34749 38214 45162 46899 55198 57321 67743 69498 82797 93798 104247 114642 135486 140697 165594 171963 203229 208494 248391 281394 343926 406458 496782 515889 609687 745173 1031778 1219374 1490346 1547667 1829061 2235519 3095334 3658122 4471038 6706557 13413114 20119671 40239342