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38368440 = 23325119689
BaseRepresentation
bin1001001001011…
…1010010111000
32200012022121100
42102113102320
534310242230
63450211400
7644061225
oct222272270
980168540
1038368440
111a726860
1210a23b60
137c45026
14514a94c
15357d660
hex24974b8

38368440 has 96 divisors (see below), whose sum is σ = 136047600. Its totient is φ = 9300480.

The previous prime is 38368423. The next prime is 38368457. The reversal of 38368440 is 4486383.

It is an interprime number because it is at equal distance from previous prime (38368423) and next prime (38368457).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38368395 and 38368404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 885 + ... + 8804.

Almost surely, 238368440 is an apocalyptic number.

38368440 is a gapful number since it is divisible by the number (30) 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 38368440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68023800).

38368440 is an abundant number, since it is smaller than the sum of its proper divisors (97679160).

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

38368440 is a wasteful number, since it uses less digits than its factorization.

38368440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9717 (or 9710 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 38368440 is about 6194.2263439432. The cubic root of 38368440 is about 337.2806146253.

The spelling of 38368440 in words is "thirty-eight million, three hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 9689 19378 29067 38756 48445 58134 77512 87201 96890 106579 116268 145335 174402 193780 213158 232536 290670 319737 348804 387560 426316 436005 532895 581340 639474 697608 852632 872010 959211 1065790 1162680 1278948 1598685 1744020 1918422 2131580 2557896 3197370 3488040 3836844 4263160 4796055 6394740 7673688 9592110 12789480 19184220 38368440