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34006012460 = 2257475168087
BaseRepresentation
bin11111101010111010…
…101001001000101100
310020202221022102100222
4133222322221020230
51024121014344320
623342214510512
72312462223320
oct375272511054
9106687272328
1034006012460
1113470564532
126710665438
13328c310384
1419084c5980
15d4068a825
hex7eaea922c

34006012460 has 48 divisors (see below), whose sum is σ = 83350923264. Its totient is φ = 11411133888.

The previous prime is 34006012363. The next prime is 34006012517. The reversal of 34006012460 is 6421060043.

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 15 ways as a sum of consecutive naturals, for example, 2577464 + ... + 2590623.

It is an arithmetic number, because the mean of its divisors is an integer number (1736477568).

Almost surely, 234006012460 is an apocalyptic number.

It is an amenable number.

34006012460 is an abundant number, since it is smaller than the sum of its proper divisors (49344910804).

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

34006012460 is a wasteful number, since it uses less digits than its factorization.

34006012460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5168150 (or 5168148 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The spelling of 34006012460 in words is "thirty-four billion, six million, twelve thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 3290 6580 5168087 10336174 20672348 25840435 36176609 51680870 72353218 103361740 144706436 180883045 242900089 361766090 485800178 723532180 971600356 1214500445 1700300623 2429000890 3400601246 4858001780 6801202492 8501503115 17003006230 34006012460