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10034352 = 2432174099
BaseRepresentation
bin100110010001…
…110010110000
3200212210112200
4212101302300
510032044402
6555023200
7151201446
oct46216260
920783480
1010034352
115733a59
12343ab00
1321043b3
141492b96
15d3321c
hex991cb0

10034352 has 60 divisors (see below), whose sum is σ = 29741400. Its totient is φ = 3147264.

The previous prime is 10034329. The next prime is 10034357. The reversal of 10034352 is 25343001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399 + ... + 4497.

It is an arithmetic number, because the mean of its divisors is an integer number (495690).

Almost surely, 210034352 is an apocalyptic number.

10034352 is a gapful number since it is divisible by the number (12) 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 10034352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14870700).

10034352 is an abundant number, since it is smaller than the sum of its proper divisors (19707048).

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

10034352 is a wasteful number, since it uses less digits than its factorization.

10034352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4130 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 10034352 is about 3167.7045316759. The cubic root of 10034352 is about 215.6898841913.

Adding to 10034352 its reverse (25343001), we get a palindrome (35377353).

The spelling of 10034352 in words is "ten million, thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 4099 8198 12297 16396 24594 32792 36891 49188 65584 69683 73782 98376 139366 147564 196752 209049 278732 295128 418098 557464 590256 627147 836196 1114928 1254294 1672392 2508588 3344784 5017176 10034352