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42640344 = 2334232861
BaseRepresentation
bin1010001010101…
…0001111011000
32222020100120000
42202222033120
541403442334
64121533000
71025302605
oct242521730
988210500
1042640344
112208435a
1212344160
138aac596
14593d6ac
153b24299
hex28aa3d8

42640344 has 80 divisors (see below), whose sum is σ = 124668720. Its totient is φ = 13590720.

The previous prime is 42640343. The next prime is 42640363. The reversal of 42640344 is 44304624.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42640343) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13474 + ... + 16334.

It is an arithmetic number, because the mean of its divisors is an integer number (1558359).

Almost surely, 242640344 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 42640344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62334360).

42640344 is an abundant number, since it is smaller than the sum of its proper divisors (82028376).

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

42640344 is a wasteful number, since it uses less digits than its factorization.

42640344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 42640344 is about 6529.9574271200. The cubic root of 42640344 is about 349.3603118388.

Adding to 42640344 its reverse (44304624), we get a palindrome (86944968).

The spelling of 42640344 in words is "forty-two million, six hundred forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 621 648 828 1242 1656 1863 2484 2861 3726 4968 5722 7452 8583 11444 14904 17166 22888 25749 34332 51498 65803 68664 77247 102996 131606 154494 197409 205992 231741 263212 308988 394818 463482 526424 592227 617976 789636 926964 1184454 1579272 1776681 1853928 2368908 3553362 4737816 5330043 7106724 10660086 14213448 21320172 42640344