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38318140 = 2257594639
BaseRepresentation
bin1001001000101…
…1000000111100
32200002202121101
42102023000330
534302140030
63445142444
7643461460
oct222130074
980082541
1038318140
111a6a1a93
12109baa24
137c28173
1451364a0
15356d7ca
hex248b03c

38318140 has 48 divisors (see below), whose sum is σ = 93542400. Its totient is φ = 12912192.

The previous prime is 38318129. The next prime is 38318141. The reversal of 38318140 is 4181383.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 38318099 and 38318108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38318141) 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, 5941 + ... + 10579.

It is an arithmetic number, because the mean of its divisors is an integer number (1948800).

Almost surely, 238318140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38318140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46771200).

38318140 is an abundant number, since it is smaller than the sum of its proper divisors (55224260).

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

38318140 is a wasteful number, since it uses less digits than its factorization.

38318140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4714 (or 4712 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 38318140 is about 6190.1647797131. The cubic root of 38318140 is about 337.1331615452.

The spelling of 38318140 in words is "thirty-eight million, three hundred eighteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 2065 4130 4639 8260 9278 18556 23195 32473 46390 64946 92780 129892 162365 273701 324730 547402 649460 1094804 1368505 1915907 2737010 3831814 5474020 7663628 9579535 19159070 38318140