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10034325 = 3252723277
BaseRepresentation
bin100110010001…
…110010010101
3200212210111200
4212101302111
510032044300
6555023113
7151201410
oct46216225
920783450
1010034325
115733a34
12343aa99
132104392
141492b77
15d33200
hex991c95

10034325 has 72 divisors (see below), whose sum is σ = 21510528. Its totient is φ = 4371840.

The previous prime is 10034309. The next prime is 10034329. The reversal of 10034325 is 52343001.

10034325 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10034325 - 24 = 10034309 is a prime.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 10034298 and 10034307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034329) 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 71 ways as a sum of consecutive naturals, for example, 36087 + ... + 36363.

Almost surely, 210034325 is an apocalyptic number.

10034325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10034325 is an abundant number, since it is smaller than the sum of its proper divisors (11476203).

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

10034325 is a wasteful number, since it uses less digits than its factorization.

10034325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 315 counting only the distinct ones).

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

The square root of 10034325 is about 3167.7002699119. The cubic root of 10034325 is about 215.6896907348.

Adding to 10034325 its reverse (52343001), we get a palindrome (62377326).

The spelling of 10034325 in words is "ten million, thirty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 23 25 35 45 63 69 75 105 115 161 175 207 225 277 315 345 483 525 575 805 831 1035 1385 1449 1575 1725 1939 2415 2493 4025 4155 5175 5817 6371 6925 7245 9695 12075 12465 17451 19113 20775 29085 31855 36225 44597 48475 57339 62325 87255 95565 133791 145425 159275 222985 286695 401373 436275 477825 668955 1114925 1433475 2006865 3344775 10034325