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23423634 = 2331361547
BaseRepresentation
bin101100101011…
…0101010010010
31122002001012000
41121112222102
521444024014
62154014430
7403045323
oct131265222
948061160
1023423634
1112249583
127a17416
134b11850
14317a44a
1520ca509
hex1656a92

23423634 has 64 divisors (see below), whose sum is σ = 57079680. Its totient is φ = 7076160.

The previous prime is 23423623. The next prime is 23423663. The reversal of 23423634 is 43632432.

It is a happy number.

23423634 is a `hidden beast` number, since 2 + 3 + 4 + 23 + 634 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23423598 and 23423607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42549 + ... + 43095.

It is an arithmetic number, because the mean of its divisors is an integer number (891870).

Almost surely, 223423634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23423634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28539840).

23423634 is an abundant number, since it is smaller than the sum of its proper divisors (33656046).

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

23423634 is a wasteful number, since it uses less digits than its factorization.

23423634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 626 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 23423634 is about 4839.7968965650. The cubic root of 23423634 is about 286.1221135668.

It can be divided in two parts, 234236 and 34, that added together give a triangular number (234270 = T684).

The spelling of 23423634 in words is "twenty-three million, four hundred twenty-three thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 61 78 117 122 183 234 351 366 547 549 702 793 1094 1098 1586 1641 1647 2379 3282 3294 4758 4923 7111 7137 9846 14222 14274 14769 21333 21411 29538 33367 42666 42822 63999 66734 100101 127998 191997 200202 300303 383994 433771 600606 867542 900909 1301313 1801818 2602626 3903939 7807878 11711817 23423634