Search a number
-
+
34103510736 = 2433532012719
BaseRepresentation
bin11111110000101110…
…100100011011010000
310021000201202211212020
4133300232210123100
51024320444320421
623400020331440
72315055026001
oct376056443320
9107021684766
1034103510736
11135105a7419
126739243b80
1332a6589269
1419174251a8
15d48ee8dc6
hex7f0ba46d0

34103510736 has 40 divisors (see below), whose sum is σ = 88350357120. Its totient is φ = 11335627776.

The previous prime is 34103510699. The next prime is 34103510737. The reversal of 34103510736 is 63701530143.

It is a junction number, because it is equal to n+sod(n) for n = 34103510697 and 34103510706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34103510737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 989416 + ... + 1023303.

It is an arithmetic number, because the mean of its divisors is an integer number (2208758928).

Almost surely, 234103510736 is an apocalyptic number.

It is an amenable number.

34103510736 is an abundant number, since it is smaller than the sum of its proper divisors (54246846384).

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

34103510736 is a wasteful number, since it uses less digits than its factorization.

34103510736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013083 (or 2013077 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The spelling of 34103510736 in words is "thirty-four billion, one hundred three million, five hundred ten thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 353 706 1059 1412 2118 2824 4236 5648 8472 16944 2012719 4025438 6038157 8050876 12076314 16101752 24152628 32203504 48305256 96610512 710489807 1420979614 2131469421 2841959228 4262938842 5683918456 8525877684 11367836912 17051755368 34103510736