Search a number
-
+
34060503696 = 2434722965929
BaseRepresentation
bin11111101110001010…
…100000101010010000
310020220201211212021220
4133232022200222100
51024223442104241
623351442445040
72314023335022
oct375612405220
9106821755256
1034060503696
11134992a260a
126726963780
13329a6abacb
14191182c012
15d45351166
hex7ee2a0a90

34060503696 has 80 divisors (see below), whose sum is σ = 90255532800. Its totient is φ = 11063245824.

The previous prime is 34060503679. The next prime is 34060503703. The reversal of 34060503696 is 69630506043.

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, 483660 + ... + 549588.

It is an arithmetic number, because the mean of its divisors is an integer number (1128194160).

Almost surely, 234060503696 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 34060503696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45127766400).

34060503696 is an abundant number, since it is smaller than the sum of its proper divisors (56195029104).

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

34060503696 is a wasteful number, since it uses less digits than its factorization.

34060503696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66216 (or 66210 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The spelling of 34060503696 in words is "thirty-four billion, sixty million, five hundred three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 229 282 376 458 564 687 752 916 1128 1374 1832 2256 2748 3664 5496 10763 10992 21526 32289 43052 64578 65929 86104 129156 131858 172208 197787 258312 263716 395574 516624 527432 791148 1054864 1582296 3098663 3164592 6197326 9295989 12394652 15097741 18591978 24789304 30195482 37183956 45293223 49578608 60390964 74367912 90586446 120781928 148735824 181172892 241563856 362345784 709593827 724691568 1419187654 2128781481 2838375308 4257562962 5676750616 8515125924 11353501232 17030251848 34060503696