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23842320 = 2435412423
BaseRepresentation
bin101101011110…
…0111000010000
31122212022111220
41122330320100
522100423240
62211005040
7406441065
oct132747020
948768456
1023842320
11125050a7
127b99780
134c2a2a8
143248c6c
15215e5d0
hex16bce10

23842320 has 80 divisors (see below), whose sum is σ = 75745152. Its totient is φ = 6200320.

The previous prime is 23842307. The next prime is 23842327. The reversal of 23842320 is 2324832.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (23842327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8629 + ... + 11051.

Almost surely, 223842320 is an apocalyptic number.

23842320 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 23842320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37872576).

23842320 is an abundant number, since it is smaller than the sum of its proper divisors (51902832).

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

23842320 is a wasteful number, since it uses less digits than its factorization.

23842320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 23842320 is about 4882.8598177707. The cubic root of 23842320 is about 287.8168202433.

The spelling of 23842320 in words is "twenty-three million, eight hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2423 2460 3280 4846 4920 7269 9692 9840 12115 14538 19384 24230 29076 36345 38768 48460 58152 72690 96920 99343 116304 145380 193840 198686 290760 298029 397372 496715 581520 596058 794744 993430 1192116 1490145 1589488 1986860 2384232 2980290 3973720 4768464 5960580 7947440 11921160 23842320