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102834312 = 2337612109
BaseRepresentation
bin1100010000100…
…10000010001000
321011111112011020
412020102002020
5202311144222
614112032440
72356035330
oct610220210
9234445136
10102834312
1153057a39
122a532720
13183c6909
14d92c0c0
15906465c
hex6212088

102834312 has 32 divisors (see below), whose sum is σ = 293812800. Its totient is φ = 29381184.

The previous prime is 102834299. The next prime is 102834331. The reversal of 102834312 is 213438201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305887 + ... + 306222.

It is an arithmetic number, because the mean of its divisors is an integer number (9181650).

Almost surely, 2102834312 is an apocalyptic number.

102834312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102834312 is an abundant number, since it is smaller than the sum of its proper divisors (190978488).

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

102834312 is a wasteful number, since it uses less digits than its factorization.

102834312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612125 (or 612121 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 102834312 is about 10140.7254178387. The cubic root of 102834312 is about 468.5033302002.

The spelling of 102834312 in words is "one hundred two million, eight hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 612109 1224218 1836327 2448436 3672654 4284763 4896872 7345308 8569526 12854289 14690616 17139052 25708578 34278104 51417156 102834312