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34455132 = 22341929193
BaseRepresentation
bin1000001101101…
…1111001011100
32101211111120000
42003123321130
532310031012
63230254300
7565602165
oct203337134
971744500
1034455132
11184a3718
12b657390
1371a4a6a
14480c76c
153058ddc
hex20dbe5c

34455132 has 120 divisors (see below), whose sum is σ = 98590800. Its totient is φ = 10450944.

The previous prime is 34455119. The next prime is 34455137. The reversal of 34455132 is 23155443.

It is a super-2 number, since 2×344551322 = 2374312242274848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34455096 and 34455105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34455137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 178428 + ... + 178620.

It is an arithmetic number, because the mean of its divisors is an integer number (821590).

Almost surely, 234455132 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 34455132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49295400).

34455132 is an abundant number, since it is smaller than the sum of its proper divisors (64135668).

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

34455132 is a wasteful number, since it uses less digits than its factorization.

34455132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 34455132 is about 5869.8494018160. The cubic root of 34455132 is about 325.4003177527.

The spelling of 34455132 in words is "thirty-four million, four hundred fifty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 29 36 38 54 57 58 76 81 87 108 114 116 162 171 174 193 228 261 324 342 348 386 513 522 551 579 684 772 783 1026 1044 1102 1158 1539 1566 1653 1737 2052 2204 2316 2349 3078 3132 3306 3474 3667 4698 4959 5211 5597 6156 6612 6948 7334 9396 9918 10422 11001 11194 14668 14877 15633 16791 19836 20844 22002 22388 29754 31266 33003 33582 44004 44631 50373 59508 62532 66006 67164 89262 99009 100746 106343 132012 151119 178524 198018 201492 212686 297027 302238 319029 396036 425372 453357 594054 604476 638058 906714 957087 1188108 1276116 1813428 1914174 2871261 3828348 5742522 8613783 11485044 17227566 34455132