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10347064 = 2371361233
BaseRepresentation
bin100111011110…
…001000111000
3201110200111121
4213132020320
510122101224
61005435024
7153643240
oct47361070
921420447
1010347064
1159279a2
12356ba74
1321b3830
141534b20
15d95be4
hex9de238

10347064 has 64 divisors (see below), whose sum is σ = 24373440. Its totient is φ = 4008960.

The previous prime is 10347053. The next prime is 10347089. The reversal of 10347064 is 46074301.

10347064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 44292 + ... + 44524.

It is an arithmetic number, because the mean of its divisors is an integer number (380835).

Almost surely, 210347064 is an apocalyptic number.

10347064 is a gapful number since it is divisible by the number (14) 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 10347064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186720).

10347064 is an abundant number, since it is smaller than the sum of its proper divisors (14026376).

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

10347064 is a wasteful number, since it uses less digits than its factorization.

10347064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 10347064 is about 3216.6852503781. The cubic root of 10347064 is about 217.9076004907.

The spelling of 10347064 in words is "ten million, three hundred forty-seven thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 61 91 104 122 182 233 244 364 427 466 488 728 793 854 932 1586 1631 1708 1864 3029 3172 3262 3416 5551 6058 6344 6524 11102 12116 13048 14213 21203 22204 24232 28426 42406 44408 56852 84812 99491 113704 169624 184769 198982 369538 397964 739076 795928 1293383 1478152 2586766 5173532 10347064