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38294016 = 293107233
BaseRepresentation
bin1001001000010…
…1001000000000
32200001112111220
42102011020000
534300402031
63444435040
7643331235
oct222051000
980045456
1038294016
111a685952
12109a8a80
137c1a1a7
14512b78c
153566596
hex2485200

38294016 has 80 divisors (see below), whose sum is σ = 103413024. Its totient is φ = 12591104.

The previous prime is 38293999. The next prime is 38294017. The reversal of 38294016 is 61049283.

It is a super-2 number, since 2×382940162 = 2932863322816512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38294017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164236 + ... + 164468.

Almost surely, 238294016 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 38294016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51706512).

38294016 is an abundant number, since it is smaller than the sum of its proper divisors (65119008).

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

38294016 is a wasteful number, since it uses less digits than its factorization.

38294016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 38294016 is about 6188.2158979790. The cubic root of 38294016 is about 337.0623969087.

The spelling of 38294016 in words is "thirty-eight million, two hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 233 256 321 384 428 466 512 642 699 768 856 932 1284 1398 1536 1712 1864 2568 2796 3424 3728 5136 5592 6848 7456 10272 11184 13696 14912 20544 22368 24931 27392 29824 41088 44736 49862 54784 59648 74793 82176 89472 99724 119296 149586 164352 178944 199448 299172 357888 398896 598344 797792 1196688 1595584 2393376 3191168 4786752 6382336 9573504 12764672 19147008 38294016