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23564340 = 223253141103
BaseRepresentation
bin101100111100…
…1000000110100
31122100012012100
41121321000310
522013024330
62201022100
7404202462
oct131710064
948305170
1023564340
1112335268
127a84930
134b608c7
1431b5832
152107060
hex1679034

23564340 has 144 divisors (see below), whose sum is σ = 76317696. Its totient is φ = 5875200.

The previous prime is 23564311. The next prime is 23564341. The reversal of 23564340 is 4346532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23564341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228729 + ... + 228831.

It is an arithmetic number, because the mean of its divisors is an integer number (529984).

Almost surely, 223564340 is an apocalyptic number.

23564340 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 23564340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38158848).

23564340 is an abundant number, since it is smaller than the sum of its proper divisors (52753356).

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

23564340 is a wasteful number, since it uses less digits than its factorization.

23564340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 23564340 is about 4854.3114856795. The cubic root of 23564340 is about 286.6938829998.

The spelling of 23564340 in words is "twenty-three million, five hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 41 45 60 62 82 90 93 103 123 124 155 164 180 186 205 206 246 279 309 310 369 372 410 412 465 492 515 558 615 618 620 738 820 927 930 1030 1116 1230 1236 1271 1395 1476 1545 1845 1854 1860 2060 2460 2542 2790 3090 3193 3690 3708 3813 4223 4635 5084 5580 6180 6355 6386 7380 7626 8446 9270 9579 11439 12669 12710 12772 15252 15965 16892 18540 19065 19158 21115 22878 25338 25420 28737 31930 38007 38130 38316 42230 45756 47895 50676 57195 57474 63345 63860 76014 76260 84460 95790 114390 114948 126690 130913 143685 152028 190035 191580 228780 253380 261826 287370 380070 392739 523652 574740 654565 760140 785478 1178217 1309130 1570956 1963695 2356434 2618260 3927390 4712868 5891085 7854780 11782170 23564340