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34360277644 = 22721118018849
BaseRepresentation
bin100000000000000010…
…000011101010001100
310021200121220221211201
4200000002003222030
51030332212341034
623441311555244
72324323353400
oct400002035214
9107617827751
1034360277644
1113632532180
1267ab22bb24
13331782aa44
14193d583100
15d61818014
hex800083a8c

34360277644 has 72 divisors (see below), whose sum is σ = 76357587600. Its totient is φ = 13378176000.

The previous prime is 34360277621. The next prime is 34360277657. The reversal of 34360277644 is 44677206343.

It is a junction number, because it is equal to n+sod(n) for n = 34360277594 and 34360277603.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3878532 + ... + 3887380.

It is an arithmetic number, because the mean of its divisors is an integer number (1060522050).

Almost surely, 234360277644 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 34360277644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38178793800).

34360277644 is an abundant number, since it is smaller than the sum of its proper divisors (41997309956).

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

34360277644 is a wasteful number, since it uses less digits than its factorization.

34360277644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10679 (or 10670 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 46.

The spelling of 34360277644 in words is "thirty-four billion, three hundred sixty million, two hundred seventy-seven thousand, six hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 1078 1801 2156 3602 7204 8849 12607 17698 19811 25214 35396 39622 50428 61943 79244 88249 97339 123886 138677 176498 194678 247772 277354 352996 389356 433601 554708 681373 867202 970739 1362746 1734404 1941478 2725492 3882956 4769611 9539222 15937049 19078444 31874098 63748196 111559343 175307539 223118686 350615078 446237372 701230156 780915401 1227152773 1561830802 2454305546 3123661604 4908611092 8590069411 17180138822 34360277644