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34078174016 = 263141418939
BaseRepresentation
bin11111101111001101…
…111010101101000000
310020221222002121102012
4133233031322231000
51024243003032031
623353313312052
72314326462005
oct375715725500
9106858077365
1034078174016
11134a8271587
126730865628
1332a1257a13
141913d0b8ac
15d46b91b2b
hex7ef37ab40

34078174016 has 56 divisors (see below), whose sum is σ = 71508030720. Its totient is φ = 16087219200.

The previous prime is 34078174001. The next prime is 34078174019. The reversal of 34078174016 is 61047187043.

It is a super-2 number, since 2×340781740162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34078174019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128126 + ... + 290813.

It is an arithmetic number, because the mean of its divisors is an integer number (1276929120).

Almost surely, 234078174016 is an apocalyptic number.

It is an amenable number.

34078174016 is an abundant number, since it is smaller than the sum of its proper divisors (37429856704).

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

34078174016 is a wasteful number, since it uses less digits than its factorization.

34078174016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419023 (or 419013 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The spelling of 34078174016 in words is "thirty-four billion, seventy-eight million, one hundred seventy-four thousand, sixteen".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 164 248 328 496 656 992 1271 1312 1984 2542 2624 5084 10168 20336 40672 81344 418939 837878 1675756 3351512 6703024 12987109 13406048 17176499 25974218 26812096 34352998 51948436 68705996 103896872 137411992 207793744 274823984 415587488 532471469 549647968 831174976 1064942938 1099295936 2129885876 4259771752 8519543504 17039087008 34078174016