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34078088 = 231123113149
BaseRepresentation
bin1000000111111…
…1110110001000
32101010100100102
42001333312020
532210444323
63214224532
7562442012
oct201776610
971110312
1034078088
1118266410
12b4b5148
1370a2265
1447511b2
152ed2328
hex207fd88

34078088 has 64 divisors (see below), whose sum is σ = 73872000. Its totient is φ = 14586880.

The previous prime is 34078069. The next prime is 34078091. The reversal of 34078088 is 88087043.

34078088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×340780882 = 2322632163471488, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228638 + ... + 228786.

It is an arithmetic number, because the mean of its divisors is an integer number (1154250).

Almost surely, 234078088 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 34078088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36936000).

34078088 is an abundant number, since it is smaller than the sum of its proper divisors (39793912).

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

34078088 is a wasteful number, since it uses less digits than its factorization.

34078088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 34078088 is about 5837.6440453320. The cubic root of 34078088 is about 324.2090050135.

It can be divided in two parts, 340780 and 88, that multiplied together give a triangular number (29988640 = T7744).

The spelling of 34078088 in words is "thirty-four million, seventy-eight thousand, eighty-eight".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 113 149 184 226 253 298 452 506 596 904 1012 1192 1243 1639 2024 2486 2599 3278 3427 4972 5198 6556 6854 9944 10396 13112 13708 16837 20792 27416 28589 33674 37697 57178 67348 75394 114356 134696 150788 185207 228712 301576 370414 387251 740828 774502 1481656 1549004 3098008 4259761 8519522 17039044 34078088