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34009276704 = 2531347579809
BaseRepresentation
bin11111101011000111…
…000110000100100000
310020210011110021001220
4133223013012010200
51024122333323304
623342412455040
72312532040134
oct375307060440
9106704407056
1034009276704
1113472393a57
12671177a480
13328cbb4090
141908ad53c4
15d40ad2ad9
hex7eb1c6120

34009276704 has 96 divisors (see below), whose sum is σ = 98187344640. Its totient is φ = 10241728512.

The previous prime is 34009276681. The next prime is 34009276711. The reversal of 34009276704 is 40767290043.

It is a tau number, because it is divible by the number of its divisors (96).

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, 231249 + ... + 348560.

It is an arithmetic number, because the mean of its divisors is an integer number (1022784840).

Almost surely, 234009276704 is an apocalyptic number.

It is an amenable number.

34009276704 is an abundant number, since it is smaller than the sum of its proper divisors (64178067936).

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

34009276704 is a wasteful number, since it uses less digits than its factorization.

34009276704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579882 (or 579874 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 34009276704 in words is "thirty-four billion, nine million, two hundred seventy-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 78 94 96 104 141 156 188 208 282 312 376 416 564 611 624 752 1128 1222 1248 1504 1833 2256 2444 3666 4512 4888 7332 9776 14664 19552 29328 58656 579809 1159618 1739427 2319236 3478854 4638472 6957708 7537517 9276944 13915416 15075034 18553888 22612551 27251023 27830832 30150068 45225102 54502046 55661664 60300136 81753069 90450204 109004092 120600272 163506138 180900408 218008184 241200544 327012276 354263299 361800816 436016368 654024552 708526598 723601632 872032736 1062789897 1308049104 1417053196 2125579794 2616098208 2834106392 4251159588 5668212784 8502319176 11336425568 17004638352 34009276704