Search a number
-
+
34745932464 = 24311325312
BaseRepresentation
bin100000010111000001…
…001101101010110000
310022200111121020210120
4200113001031222300
51032124424314324
623543445530240
72340015360435
oct402701155260
9108614536716
1034745932464
111381019a371
126898413980
1333796b8a69
141978891b8c
15d855e6179
hex81704dab0

34745932464 has 60 divisors (see below), whose sum is σ = 90590457048. Its totient is φ = 11474946560.

The previous prime is 34745932457. The next prime is 34745932489. The reversal of 34745932464 is 46423954743.

It is a super-2 number, since 2×347459324642 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13726879 + ... + 13729409.

Almost surely, 234745932464 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 34745932464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45295228524).

34745932464 is an abundant number, since it is smaller than the sum of its proper divisors (55844524584).

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

34745932464 is an equidigital number, since it uses as much as digits as its factorization.

34745932464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5186 (or 2649 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 51.

The spelling of 34745932464 in words is "thirty-four billion, seven hundred forty-five million, nine hundred thirty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2531 2712 5062 5424 7593 10124 15186 20248 30372 40496 60744 121488 286003 572006 858009 1144012 1716018 2288024 3432036 4576048 6405961 6864072 12811922 13728144 19217883 25623844 38435766 51247688 76871532 102495376 153743064 307486128 723873593 1447747186 2171620779 2895494372 4343241558 5790988744 8686483116 11581977488 17372966232 34745932464