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102034314 = 2325668573
BaseRepresentation
bin1100001010011…
…10101110001010
321002222212202200
412011032232022
5202110044224
614042541030
72346164064
oct605165612
9232885680
10102034314
1152660988
122a207776
13181a6745
14d7a0734
158e575c9
hex614eb8a

102034314 has 12 divisors (see below), whose sum is σ = 221074386. Its totient is φ = 34011432.

The previous prime is 102034291. The next prime is 102034327. The reversal of 102034314 is 413430201.

It can be written as a sum of positive squares in only one way, i.e., 56025225 + 46009089 = 7485^2 + 6783^2 .

It is a super-2 number, since 2×1020343142 = 20822002466901192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5668573 = 102034314 / (1 + 0 + 2 + 0 + 3 + 4 + 3 + 1 + 4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2834269 + ... + 2834304.

Almost surely, 2102034314 is an apocalyptic number.

102034314 is an abundant number, since it is smaller than the sum of its proper divisors (119040072).

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

102034314 is a wasteful number, since it uses less digits than its factorization.

102034314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5668581 (or 5668578 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102034314 is about 10101.2035916518. The cubic root of 102034314 is about 467.2852611730.

Adding to 102034314 its reverse (413430201), we get a palindrome (515464515).

The spelling of 102034314 in words is "one hundred two million, thirty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 5668573 11337146 17005719 34011438 51017157 102034314