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34731606450 = 2352474926469
BaseRepresentation
bin100000010110001010…
…100100000110110010
310022122111122102012110
4200112022210012302
51032112242401300
623542214510150
72336452532562
oct402612440662
9108574572173
1034731606450
11138030a4a92
126893665356
133376741128
141976a02da2
15d84216550
hex8162a41b2

34731606450 has 48 divisors (see below), whose sum is σ = 87967048320. Its totient is φ = 9064701120.

The previous prime is 34731606449. The next prime is 34731606541. The reversal of 34731606450 is 5460613743.

It is a junction number, because it is equal to n+sod(n) for n = 34731606399 and 34731606408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2456185 + ... + 2470284.

It is an arithmetic number, because the mean of its divisors is an integer number (1832646840).

Almost surely, 234731606450 is an apocalyptic number.

34731606450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34731606450 is an abundant number, since it is smaller than the sum of its proper divisors (53235441870).

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

34731606450 is a wasteful number, since it uses less digits than its factorization.

34731606450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4926531 (or 4926526 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 34731606450 in words is "thirty-four billion, seven hundred thirty-one million, six hundred six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 75 94 141 150 235 282 470 705 1175 1410 2350 3525 7050 4926469 9852938 14779407 24632345 29558814 49264690 73897035 123161725 147794070 231544043 246323450 369485175 463088086 694632129 738970350 1157720215 1389264258 2315440430 3473160645 5788601075 6946321290 11577202150 17365803225 34731606450