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10034388 = 22337131021
BaseRepresentation
bin100110010001…
…110011010100
3200212210121000
4212101303110
510032100023
6555023300
7151201530
oct46216324
920783530
1010034388
115733a91
12343ab30
132104410
141492bc0
15d33243
hex991cd4

10034388 has 96 divisors (see below), whose sum is σ = 32049920. Its totient is φ = 2643840.

The previous prime is 10034383. The next prime is 10034399. The reversal of 10034388 is 88343001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9318 + ... + 10338.

Almost surely, 210034388 is an apocalyptic number.

10034388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10034388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16024960).

10034388 is an abundant number, since it is smaller than the sum of its proper divisors (22015532).

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

10034388 is a wasteful number, since it uses less digits than its factorization.

10034388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1046 counting only the distinct ones).

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

The square root of 10034388 is about 3167.7102140190. The cubic root of 10034388 is about 215.6901421328.

Adding to 10034388 its reverse (88343001), we get a palindrome (98377389).

The spelling of 10034388 in words is "ten million, thirty-four thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1021 1092 1404 1638 2042 2457 3063 3276 4084 4914 6126 7147 9189 9828 12252 13273 14294 18378 21441 26546 27567 28588 36756 39819 42882 53092 55134 64323 79638 85764 92911 110268 119457 128646 159276 185822 192969 238914 257292 278733 358371 371644 385938 477828 557466 716742 771876 836199 1114932 1433484 1672398 2508597 3344796 5017194 10034388