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34009976 = 237111331137
BaseRepresentation
bin1000000110111…
…1001101111000
32100222212220202
42001233031320
532201304401
63212541332
7562036310
oct201571570
970885822
1034009976
111821a220
12b481848
13707a260
144734440
152ebc06b
hex206f378

34009976 has 128 divisors (see below), whose sum is σ = 89026560. Its totient is φ = 11750400.

The previous prime is 34009961. The next prime is 34009991. The reversal of 34009976 is 67990043.

34009976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34009961) and next prime (34009991).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 248180 + ... + 248316.

It is an arithmetic number, because the mean of its divisors is an integer number (695520).

Almost surely, 234009976 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 34009976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44513280).

34009976 is an abundant number, since it is smaller than the sum of its proper divisors (55016584).

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

34009976 is a wasteful number, since it uses less digits than its factorization.

34009976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 34009976 is about 5831.8072670485. The cubic root of 34009976 is about 323.9928617032.

The spelling of 34009976 in words is "thirty-four million, nine thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 31 44 52 56 62 77 88 91 104 124 137 143 154 182 217 248 274 286 308 341 364 403 434 548 572 616 682 728 806 868 959 1001 1096 1144 1364 1507 1612 1736 1781 1918 2002 2387 2728 2821 3014 3224 3562 3836 4004 4247 4433 4774 5642 6028 7124 7672 8008 8494 8866 9548 10549 11284 12056 12467 14248 16988 17732 19096 19591 21098 22568 24934 29729 31031 33976 35464 39182 42196 46717 49868 55211 59458 62062 78364 84392 93434 99736 110422 118916 124124 137137 156728 186868 220844 237832 248248 274274 327019 373736 386477 441688 548548 607321 654038 772954 1097096 1214642 1308076 1545908 2429284 2616152 3091816 4251247 4858568 8502494 17004988 34009976