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23278320 = 2433513829
BaseRepresentation
bin101100011001…
…1001011110000
31121210122212000
41120303023300
521424401240
62150534000
7401601552
oct130631360
947718760
1023278320
111215a38a
127967300
134a90670
14313d4d2
15209c430
hex16332f0

23278320 has 160 divisors (see below), whose sum is σ = 86452800. Its totient is φ = 5723136.

The previous prime is 23278267. The next prime is 23278327. The reversal of 23278320 is 2387232.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23278327) 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, 27666 + ... + 28494.

It is an arithmetic number, because the mean of its divisors is an integer number (540330).

Almost surely, 223278320 is an apocalyptic number.

23278320 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 23278320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43226400).

23278320 is an abundant number, since it is smaller than the sum of its proper divisors (63174480).

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

23278320 is a wasteful number, since it uses less digits than its factorization.

23278320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 23278320 is about 4824.7611339837. The cubic root of 23278320 is about 285.5292106173.

The spelling of 23278320 in words is "twenty-three million, two hundred seventy-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 829 936 1040 1080 1170 1404 1560 1658 1755 1872 2160 2340 2487 2808 3120 3316 3510 4145 4680 4974 5616 6632 7020 7461 8290 9360 9948 10777 12435 13264 14040 14922 16580 19896 21554 22383 24870 28080 29844 32331 33160 37305 39792 43108 44766 49740 53885 59688 64662 66320 74610 86216 89532 96993 99480 107770 111915 119376 129324 149220 161655 172432 179064 193986 198960 215540 223830 258648 290979 298440 323310 358128 387972 431080 447660 484965 517296 581958 596880 646620 775944 862160 895320 969930 1163916 1293240 1454895 1551888 1790640 1939860 2327832 2586480 2909790 3879720 4655664 5819580 7759440 11639160 23278320