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40634040 = 2335536389
BaseRepresentation
bin1001101100000…
…0011010111000
32211110102102110
42123000122320
540400242130
64010532320
71002245406
oct233003270
984412373
1040634040
1120a33a57
12117370a0
138559315
14557a476
153879ab0
hex26c06b8

40634040 has 64 divisors (see below), whose sum is σ = 124221600. Its totient is φ = 10629632.

The previous prime is 40634021. The next prime is 40634053. The reversal of 40634040 is 4043604.

It is a super-2 number, since 2×406340402 = 3302250413443200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40633998 and 40634016.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3166 + ... + 9554.

Almost surely, 240634040 is an apocalyptic number.

40634040 is a gapful number since it is divisible by the number (40) 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 40634040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62110800).

40634040 is an abundant number, since it is smaller than the sum of its proper divisors (83587560).

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

40634040 is a wasteful number, since it uses less digits than its factorization.

40634040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6456 (or 6452 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 40634040 is about 6374.4835084891. The cubic root of 40634040 is about 343.7927135904.

Adding to 40634040 its reverse (4043604), we get a palindrome (44677644).

The spelling of 40634040 in words is "forty million, six hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 6389 12778 19167 25556 31945 38334 51112 63890 76668 95835 127780 153336 191670 255560 338617 383340 677234 766680 1015851 1354468 1693085 2031702 2708936 3386170 4063404 5079255 6772340 8126808 10158510 13544680 20317020 40634040