Search a number
-
+
34412356650 = 23527103318191
BaseRepresentation
bin100000000011001000…
…101110010000101010
310021211020220211210210
4200003020232100222
51030434030403100
623450412121550
72325525130260
oct400310562052
9107736824723
1034412356650
1113659972981
1268047662b6
133325563519
14194645c430
15d661a3c50
hex80322e42a

34412356650 has 96 divisors (see below), whose sum is σ = 98481696768. Its totient is φ = 7789291200.

The previous prime is 34412356639. The next prime is 34412356661. The reversal of 34412356650 is 5665321443.

It is an interprime number because it is at equal distance from previous prime (34412356639) and next prime (34412356661).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34412356599 and 34412356608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50946 + ... + 267245.

It is an arithmetic number, because the mean of its divisors is an integer number (1025851008).

Almost surely, 234412356650 is an apocalyptic number.

34412356650 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34412356650 is an abundant number, since it is smaller than the sum of its proper divisors (64069340118).

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

34412356650 is a wasteful number, since it uses less digits than its factorization.

34412356650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318316 (or 318311 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 34412356650 in words is "thirty-four billion, four hundred twelve million, three hundred fifty-six thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 103 105 150 175 206 210 309 350 515 525 618 721 1030 1050 1442 1545 2163 2575 3090 3605 4326 5150 7210 7725 10815 15450 18025 21630 36050 54075 108150 318191 636382 954573 1590955 1909146 2227337 3181910 4454674 4772865 6682011 7954775 9545730 11136685 13364022 15909550 22273370 23864325 32773673 33410055 47728650 55683425 65547346 66820110 98321019 111366850 163868365 167050275 196642038 229415711 327736730 334100550 458831422 491605095 688247133 819341825 983210190 1147078555 1376494266 1638683650 2294157110 2458025475 3441235665 4916050950 5735392775 6882471330 11470785550 17206178325 34412356650