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34604604640 = 2557310727689
BaseRepresentation
bin100000001110100110…
…000101110011100000
310022022122200001110201
4200032212011303200
51031332234322030
623521440434544
72333351200114
oct401646056340
9108278601421
1034604604640
1113748440711
126859018a54
133356335228
141963bc3744
15d77ecb2ca
hex80e985ce0

34604604640 has 96 divisors (see below), whose sum is σ = 83650825440. Its totient is φ = 13524148224.

The previous prime is 34604604613. The next prime is 34604604649. The reversal of 34604604640 is 4640640643.

It is a self number, because there is not a number n which added to its sum of digits gives 34604604640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34604604649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1235916 + ... + 1263604.

It is an arithmetic number, because the mean of its divisors is an integer number (871362765).

Almost surely, 234604604640 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 34604604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41825412720).

34604604640 is an abundant number, since it is smaller than the sum of its proper divisors (49046220800).

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

34604604640 is a wasteful number, since it uses less digits than its factorization.

34604604640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27884 (or 27876 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

The spelling of 34604604640 in words is "thirty-four billion, six hundred four million, six hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 107 146 160 214 292 365 428 535 584 730 856 1070 1168 1460 1712 2140 2336 2920 3424 4280 5840 7811 8560 11680 15622 17120 27689 31244 39055 55378 62488 78110 110756 124976 138445 156220 221512 249952 276890 312440 443024 553780 624880 886048 1107560 1249760 2021297 2215120 2962723 4042594 4430240 5925446 8085188 10106485 11850892 14813615 16170376 20212970 23701784 29627230 32340752 40425940 47403568 59254460 64681504 80851880 94807136 118508920 161703760 216278779 237017840 323407520 432557558 474035680 865115116 1081393895 1730230232 2162787790 3460460464 4325575580 6920920928 8651151160 17302302320 34604604640