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34601000060 = 225114311233257
BaseRepresentation
bin100000001110011000…
…010101110001111100
310022022101212220220202
4200032120111301330
51031330324000220
623521231303032
72333305435124
oct401630256174
9108271786822
1034601000060
11137463a9520
12685797aa78
133355672643
141963525c84
15d77a18275
hex80e615c7c

34601000060 has 96 divisors (see below), whose sum is σ = 81208334592. Its totient is φ = 12274859520.

The previous prime is 34601000053. The next prime is 34601000069. The reversal of 34601000060 is 6000010643.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34600999996 and 34601000041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34601000069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10621952 + ... + 10625208.

It is an arithmetic number, because the mean of its divisors is an integer number (845920152).

Almost surely, 234601000060 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 34601000060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40604167296).

34601000060 is an abundant number, since it is smaller than the sum of its proper divisors (46607334532).

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

34601000060 is a wasteful number, since it uses less digits than its factorization.

34601000060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4443 (or 4441 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The spelling of 34601000060 in words is "thirty-four billion, six hundred one million, sixty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1123 1892 2246 2365 3257 4492 4730 5615 6514 9460 11230 12353 13028 16285 22460 24706 32570 35827 48289 49412 61765 65140 71654 96578 123530 140051 143308 179135 193156 241445 247060 280102 358270 482890 531179 560204 700255 716540 965780 1062358 1400510 1540561 2124716 2655895 2801020 3081122 3657611 5311790 6162244 7315222 7702805 10623580 14630444 15405610 18288055 30811220 36576110 40233721 73152220 80467442 157277273 160934884 201168605 314554546 402337210 629109092 786386365 804674420 1572772730 1730050003 3145545460 3460100006 6920200012 8650250015 17300500030 34601000060