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10038384 = 2433191223
BaseRepresentation
bin100110010010…
…110001110000
3200220000002000
4212102301300
510032212014
6555054000
7151216266
oct46226160
920800060
1010038384
115736a94
123441300
132106195
141494436
15d34509
hex992c70

10038384 has 80 divisors (see below), whose sum is σ = 30355200. Its totient is φ = 3167424.

The previous prime is 10038377. The next prime is 10038397. The reversal of 10038384 is 48383001.

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 15 ways as a sum of consecutive naturals, for example, 7597 + ... + 8819.

It is an arithmetic number, because the mean of its divisors is an integer number (379440).

Almost surely, 210038384 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 10038384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177600).

10038384 is an abundant number, since it is smaller than the sum of its proper divisors (20316816).

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

10038384 is a wasteful number, since it uses less digits than its factorization.

10038384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10038384 is about 3168.3408907502. The cubic root of 10038384 is about 215.7187698020.

The spelling of 10038384 in words is "ten million, thirty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1223 1368 2052 2446 2736 3669 4104 4892 7338 8208 9784 11007 14676 19568 22014 23237 29352 33021 44028 46474 58704 66042 69711 88056 92948 132084 139422 176112 185896 209133 264168 278844 371792 418266 528336 557688 627399 836532 1115376 1254798 1673064 2509596 3346128 5019192 10038384