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38312340 = 22351158049
BaseRepresentation
bin1001001000100…
…1100110010100
32200002110122120
42102021212110
534301443330
63445055540
7643435533
oct222114624
980073576
1038312340
111a6986a0
12109b75b0
137c25631
14513431a
15356bc10
hex2489994

38312340 has 48 divisors (see below), whose sum is σ = 117028800. Its totient is φ = 9287680.

The previous prime is 38312333. The next prime is 38312347. The reversal of 38312340 is 4321383.

It is an interprime number because it is at equal distance from previous prime (38312333) and next prime (38312347).

It is a self number, because there is not a number n which added to its sum of digits gives 38312340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38312347) 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, 28365 + ... + 29684.

It is an arithmetic number, because the mean of its divisors is an integer number (2438100).

Almost surely, 238312340 is an apocalyptic number.

38312340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38312340 is an abundant number, since it is smaller than the sum of its proper divisors (78716460).

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

38312340 is a wasteful number, since it uses less digits than its factorization.

38312340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58072 (or 58070 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 38312340 is about 6189.6962768782. The cubic root of 38312340 is about 337.1161507073.

The spelling of 38312340 in words is "thirty-eight million, three hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 58049 116098 174147 232196 290245 348294 580490 638539 696588 870735 1160980 1277078 1741470 1915617 2554156 3192695 3482940 3831234 6385390 7662468 9578085 12770780 19156170 38312340