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34530132 = 223713103307
BaseRepresentation
bin1000001110111…
…0001101010100
32101222022102210
42003232031110
532314431012
63232033420
7566333640
oct203561524
971868383
1034530132
1118544aaa
12b692870
1371ccc40
14482bc20
15307123c
hex20ee354

34530132 has 96 divisors (see below), whose sum is σ = 100452352. Its totient is φ = 8989056.

The previous prime is 34530103. The next prime is 34530143. The reversal of 34530132 is 23103543.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 34530099 and 34530108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112323 + ... + 112629.

Almost surely, 234530132 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 34530132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50226176).

34530132 is an abundant number, since it is smaller than the sum of its proper divisors (65922220).

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

34530132 is a wasteful number, since it uses less digits than its factorization.

34530132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 34530132 is about 5876.2345085948. The cubic root of 34530132 is about 325.6362510373.

Adding to 34530132 its reverse (23103543), we get a palindrome (57633675).

The spelling of 34530132 in words is "thirty-four million, five hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 103 156 182 206 273 307 309 364 412 546 614 618 721 921 1092 1228 1236 1339 1442 1842 2149 2163 2678 2884 3684 3991 4017 4298 4326 5356 6447 7982 8034 8596 8652 9373 11973 12894 15964 16068 18746 23946 25788 27937 28119 31621 37492 47892 55874 56238 63242 83811 94863 111748 112476 126484 167622 189726 221347 335244 379452 411073 442694 664041 822146 885388 1233219 1328082 1644292 2466438 2656164 2877511 4932876 5755022 8632533 11510044 17265066 34530132