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34013260632 = 23313389280249
BaseRepresentation
bin11111101011010110…
…010010101101011000
310020210102221122222210
4133223112102231120
51024124343320012
623343034115120
72312610642111
oct375326225530
9106712848883
1034013260632
111347466515a
126712b7baa0
13329097a530
141909451208
15d4111d23c
hex7eb592b58

34013260632 has 64 divisors (see below), whose sum is σ = 91809900000. Its totient is φ = 10438677504.

The previous prime is 34013260613. The next prime is 34013260681. The reversal of 34013260632 is 23606231043.

It is a super-2 number, since 2×340132606322 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34013260632.

It is a congruent number.

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, 18757 + ... + 261492.

Almost surely, 234013260632 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 34013260632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45904950000).

34013260632 is an abundant number, since it is smaller than the sum of its proper divisors (57796639368).

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

34013260632 is a wasteful number, since it uses less digits than its factorization.

34013260632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280660 (or 280656 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 34013260632 its reverse (23606231043), we get a palindrome (57619491675).

The spelling of 34013260632 in words is "thirty-four billion, thirteen million, two hundred sixty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 389 778 1167 1556 2334 3112 4668 5057 9336 10114 15171 20228 30342 40456 60684 121368 280249 560498 840747 1120996 1681494 2241992 3362988 3643237 6725976 7286474 10929711 14572948 21859422 29145896 43718844 87437688 109016861 218033722 327050583 436067444 654101166 872134888 1308202332 1417219193 2616404664 2834438386 4251657579 5668876772 8503315158 11337753544 17006630316 34013260632