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23234640 = 24351113677
BaseRepresentation
bin101100010100…
…0100001010000
31121201102221020
41120220201100
521422002030
62145555440
7401330322
oct130504120
947642836
1023234640
111212a590
127945b80
134a76810
14312b612
15208e510
hex1628850

23234640 has 160 divisors (see below), whose sum is σ = 84744576. Its totient is φ = 5191680.

The previous prime is 23234633. The next prime is 23234641. The reversal of 23234640 is 4643232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23234640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23234641) 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, 33982 + ... + 34658.

Almost surely, 223234640 is an apocalyptic number.

23234640 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 23234640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42372288).

23234640 is an abundant number, since it is smaller than the sum of its proper divisors (61509936).

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

23234640 is a wasteful number, since it uses less digits than its factorization.

23234640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 23234640 is about 4820.2323595445. The cubic root of 23234640 is about 285.3505075017.

Adding to 23234640 its reverse (4643232), we get a palindrome (27877872).

The spelling of 23234640 in words is "twenty-three million, two hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 677 715 780 858 880 1040 1144 1320 1354 1430 1560 1716 2031 2145 2288 2640 2708 2860 3120 3385 3432 4062 4290 5416 5720 6770 6864 7447 8124 8580 8801 10155 10832 11440 13540 14894 16248 17160 17602 20310 22341 26403 27080 29788 32496 34320 35204 37235 40620 44005 44682 52806 54160 59576 70408 74470 81240 88010 89364 96811 105612 111705 119152 132015 140816 148940 162480 176020 178728 193622 211224 223410 264030 290433 297880 352040 357456 387244 422448 446820 484055 528060 580866 595760 704080 774488 893640 968110 1056120 1161732 1452165 1548976 1787280 1936220 2112240 2323464 2904330 3872440 4646928 5808660 7744880 11617320 23234640