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38394240 = 273519997
BaseRepresentation
bin1001001001110…
…1100110000000
32200020121222220
42102131212000
534312103430
63450531040
7644226363
oct222354600
980217886
1038394240
111a744185
1210a36a80
137c539b1
1451560da
153586110
hex249d980

38394240 has 64 divisors (see below), whose sum is σ = 122387760. Its totient is φ = 10237952.

The previous prime is 38394127. The next prime is 38394299. The reversal of 38394240 is 4249383.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8079 + ... + 11918.

Almost surely, 238394240 is an apocalyptic number.

38394240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38394240 is an abundant number, since it is smaller than the sum of its proper divisors (83993520).

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

38394240 is a wasteful number, since it uses less digits than its factorization.

38394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20019 (or 20007 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 38394240 is about 6196.3085785006. The cubic root of 38394240 is about 337.3561966239.

The spelling of 38394240 in words is "thirty-eight million, three hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 19997 39994 59991 79988 99985 119982 159976 199970 239964 299955 319952 399940 479928 599910 639904 799880 959856 1199820 1279808 1599760 1919712 2399640 2559616 3199520 3839424 4799280 6399040 7678848 9598560 12798080 19197120 38394240