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18434952 = 233629109
BaseRepresentation
bin100011001010…
…0101110001000
31021200121000000
41012110232020
514204404302
61455043000
7312460134
oct106245610
937617000
1018434952
11a4514a8
126210460
133a85c73
14263c3c4
15194231c
hex1194b88

18434952 has 112 divisors (see below), whose sum is σ = 54103500. Its totient is φ = 5878656.

The previous prime is 18434879. The next prime is 18434957. The reversal of 18434952 is 25943481.

It can be written as a sum of positive squares in 2 ways, for example, as 18198756 + 236196 = 4266^2 + 486^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18434957) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 169074 + ... + 169182.

Almost surely, 218434952 is an apocalyptic number.

18434952 is a gapful number since it is divisible by the number (12) 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 18434952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27051750).

18434952 is an abundant number, since it is smaller than the sum of its proper divisors (35668548).

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

18434952 is a wasteful number, since it uses less digits than its factorization.

18434952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 18434952 is about 4293.5942984870. The cubic root of 18434952 is about 264.1682811398.

The spelling of 18434952 in words is "eighteen million, four hundred thirty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 109 116 162 174 216 218 232 243 261 324 327 348 436 486 522 648 654 696 729 783 872 972 981 1044 1308 1458 1566 1944 1962 2088 2349 2616 2916 2943 3132 3161 3924 4698 5832 5886 6264 6322 7047 7848 8829 9396 9483 11772 12644 14094 17658 18792 18966 21141 23544 25288 26487 28188 28449 35316 37932 42282 52974 56376 56898 70632 75864 79461 84564 85347 105948 113796 158922 169128 170694 211896 227592 256041 317844 341388 512082 635688 682776 768123 1024164 1536246 2048328 2304369 3072492 4608738 6144984 9217476 18434952