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34042024040 = 23514937315313
BaseRepresentation
bin11111101101000100…
…000001000001101000
310020212110001222222012
4133231010001001220
51024204224232130
623345542415052
72313410300333
oct375504010150
9106773058865
1034042024040
1113489920572
126720731488
13329690b6bb
14190d1bb61a
15d43900995
hex7ed101068

34042024040 has 64 divisors (see below), whose sum is σ = 77320386000. Its totient is φ = 13488279552.

The previous prime is 34042024039. The next prime is 34042024057. The reversal of 34042024040 is 4042024043.

It can be written as a sum of positive squares in 8 ways, for example, as 583029316 + 33458994724 = 24146^2 + 182918^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34042023997 and 34042024015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2215424 + ... + 2230736.

Almost surely, 234042024040 is an apocalyptic number.

It is an amenable number.

34042024040 is an abundant number, since it is smaller than the sum of its proper divisors (43278361960).

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

34042024040 is a wasteful number, since it uses less digits than its factorization.

34042024040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15846 (or 15842 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 34042024040 its reverse (4042024043), we get a palindrome (38084048083).

The spelling of 34042024040 in words is "thirty-four billion, forty-two million, twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 149 298 373 596 745 746 1192 1490 1492 1865 2980 2984 3730 5960 7460 14920 15313 30626 55577 61252 76565 111154 122504 153130 222308 277885 306260 444616 555770 612520 1111540 2223080 2281637 4563274 5711749 9126548 11408185 11423498 18253096 22816370 22846996 28558745 45632740 45693992 57117490 91265480 114234980 228469960 851050601 1702101202 3404202404 4255253005 6808404808 8510506010 17021012020 34042024040