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103442864 = 2474347457
BaseRepresentation
bin1100010101001…
…10100110110000
321012122102221012
412022212212300
5202440132424
614133050052
72364151460
oct612464660
9235572835
10103442864
1153433178
122a786928
131857a8c5
14da49ba0
159134b0e
hex62a69b0

103442864 has 80 divisors (see below), whose sum is σ = 239889408. Its totient is φ = 42287616.

The previous prime is 103442851. The next prime is 103442869. The reversal of 103442864 is 468244301.

It is a super-2 number, since 2×1034428642 = 21400852225044992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103442864.

It is not an unprimeable number, because it can be changed into a prime (103442869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226124 + ... + 226580.

Almost surely, 2103442864 is an apocalyptic number.

103442864 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 103442864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119944704).

103442864 is an abundant number, since it is smaller than the sum of its proper divisors (136446544).

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

103442864 is a wasteful number, since it uses less digits than its factorization.

103442864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 103442864 is about 10170.6865058363. The cubic root of 103442864 is about 469.4256814736.

The spelling of 103442864 in words is "one hundred three million, four hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 43 47 56 86 94 112 172 188 301 329 344 376 457 602 658 688 752 914 1204 1316 1828 2021 2408 2632 3199 3656 4042 4816 5264 6398 7312 8084 12796 14147 16168 19651 21479 25592 28294 32336 39302 42958 51184 56588 78604 85916 113176 137557 150353 157208 171832 226352 275114 300706 314416 343664 550228 601412 923597 1100456 1202824 1847194 2200912 2405648 3694388 6465179 7388776 12930358 14777552 25860716 51721432 103442864