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34140123240 = 2335284501027
BaseRepresentation
bin11111110010111010…
…001111000001101000
310021010021122221202220
4133302322033001220
51024404332420430
623403405154040
72316011154666
oct376272170150
9107107587686
1034140123240
111352a233993
12674955b920
1332b1037c72
14191c235c36
15d4c32c110
hex7f2e8f068

34140123240 has 32 divisors (see below), whose sum is σ = 102420370080. Its totient is φ = 9104032832.

The previous prime is 34140123239. The next prime is 34140123289. The reversal of 34140123240 is 4232104143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34140123240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142250394 + ... + 142250633.

It is an arithmetic number, because the mean of its divisors is an integer number (3200636565).

Almost surely, 234140123240 is an apocalyptic number.

34140123240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34140123240 is an abundant number, since it is smaller than the sum of its proper divisors (68280246840).

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

34140123240 is a wasteful number, since it uses less digits than its factorization.

34140123240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284501041 (or 284501037 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34140123240 its reverse (4232104143), we get a palindrome (38372227383).

The spelling of 34140123240 in words is "thirty-four billion, one hundred forty million, one hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 284501027 569002054 853503081 1138004108 1422505135 1707006162 2276008216 2845010270 3414012324 4267515405 5690020540 6828024648 8535030810 11380041080 17070061620 34140123240