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38240424 = 23367983
BaseRepresentation
bin1001000111100…
…0000010101000
32122221211000000
42101320002220
534242143144
63443343000
7643016055
oct221700250
978854000
1038240424
111a649662
1210981a60
137bcb991
14511602c
153555769
hex24780a8

38240424 has 112 divisors (see below), whose sum is σ = 110174400. Its totient is φ = 12433824.

The previous prime is 38240417. The next prime is 38240431. The reversal of 38240424 is 42404283.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38240417) and next prime (38240431).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 460687 + ... + 460769.

It is an arithmetic number, because the mean of its divisors is an integer number (983700).

Almost surely, 238240424 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 38240424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55087200).

38240424 is an abundant number, since it is smaller than the sum of its proper divisors (71933976).

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

38240424 is an equidigital number, since it uses as much as digits as its factorization.

38240424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 38240424 is about 6183.8842162511. The cubic root of 38240424 is about 336.9050852872.

The spelling of 38240424 in words is "thirty-eight million, two hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 81 83 108 158 162 166 216 237 243 249 316 324 332 474 486 498 632 648 664 711 729 747 948 972 996 1422 1458 1494 1896 1944 1992 2133 2241 2844 2916 2988 4266 4482 5688 5832 5976 6399 6557 6723 8532 8964 12798 13114 13446 17064 17928 19197 19671 20169 25596 26228 26892 38394 39342 40338 51192 52456 53784 57591 59013 60507 76788 78684 80676 115182 118026 121014 153576 157368 161352 177039 230364 236052 242028 354078 460728 472104 484056 531117 708156 1062234 1416312 1593351 2124468 3186702 4248936 4780053 6373404 9560106 12746808 19120212 38240424