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103434864 = 24313237207
BaseRepresentation
bin1100010101001…
…00101001110000
321012122000221220
412022210221300
5202434403424
614132545040
72364116241
oct612445160
9235560856
10103434864
1153428165
122a782180
1318577080
14da46cc8
159132579
hex62a4a70

103434864 has 80 divisors (see below), whose sum is σ = 300314112. Its totient is φ = 30438144.

The previous prime is 103434857. The next prime is 103434871. The reversal of 103434864 is 468434301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103434857) and next prime (103434871).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10749 + ... + 17955.

Almost surely, 2103434864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103434864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150157056).

103434864 is an abundant number, since it is smaller than the sum of its proper divisors (196879248).

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

103434864 is a wasteful number, since it uses less digits than its factorization.

103434864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7254 (or 7248 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 103434864 is about 10170.2932111125. The cubic root of 103434864 is about 469.4135797776.

The spelling of 103434864 in words is "one hundred three million, four hundred thirty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 897 1104 1196 1794 2392 3588 4784 7176 7207 14352 14414 21621 28828 43242 57656 86484 93691 115312 165761 172968 187382 281073 331522 345936 374764 497283 562146 663044 749528 994566 1124292 1326088 1499056 1989132 2154893 2248584 2652176 3978264 4309786 4497168 6464679 7956528 8619572 12929358 17239144 25858716 34478288 51717432 103434864