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23344570340 = 22571317244383
BaseRepresentation
bin10101101111011100…
…011101111111100100
32020020220221001020022
4111233130131333210
5340302202222330
614420243054312
71454333400560
oct255734357744
966226831208
1023344570340
11999a446243
124636071398
132280593b40
1411b65846a0
159196c4ae5
hex56f71dfe4

23344570340 has 144 divisors (see below), whose sum is σ = 64096177152. Its totient is φ = 6953416704.

The previous prime is 23344570331. The next prime is 23344570369. The reversal of 23344570340 is 4307544332.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 23344570340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503789 + ... + 548171.

Almost surely, 223344570340 is an apocalyptic number.

23344570340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23344570340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32048088576).

23344570340 is an abundant number, since it is smaller than the sum of its proper divisors (40751606812).

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

23344570340 is a wasteful number, since it uses less digits than its factorization.

23344570340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44446 (or 44427 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 35.

The spelling of 23344570340 in words is "twenty-three billion, three hundred forty-four million, five hundred seventy thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 52 65 68 70 85 91 119 130 140 170 182 221 238 260 289 340 364 442 455 476 578 595 884 910 1105 1156 1190 1445 1547 1820 2023 2210 2380 2890 3094 3757 4046 4420 5780 6188 7514 7735 8092 10115 15028 15470 18785 20230 26299 30940 37570 40460 44383 52598 75140 88766 105196 131495 177532 221915 262990 310681 443830 525980 576979 621362 754511 887660 1153958 1242724 1509022 1553405 2307916 2884895 3018044 3106810 3772555 4038853 5281577 5769790 6213620 7545110 8077706 9808643 10563154 11539580 12826687 15090220 16155412 19617286 20194265 21126308 25653374 26407885 39234572 40388530 49043215 51306748 52815770 64133435 68660501 80777060 89786809 98086430 105631540 128266870 137321002 166746931 179573618 196172860 256533740 274642004 333493862 343302505 359147236 448934045 666987724 686605010 833734655 897868090 1167228517 1373210020 1667469310 1795736180 2334457034 3334938620 4668914068 5836142585 11672285170 23344570340