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34505172 = 223213174337
BaseRepresentation
bin1000001110100…
…0000111010100
32101221001012100
42003220013110
532313131142
63231322100
7566201112
oct203500724
971831170
1034505172
1118528279
12b680330
1371c1780
144822ab2
153068b4c
hex20e81d4

34505172 has 72 divisors (see below), whose sum is σ = 99479016. Its totient is φ = 9990144.

The previous prime is 34505153. The next prime is 34505179. The reversal of 34505172 is 27150543.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 34503876 = 36^2 + 5874^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34505179) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5788 + ... + 10124.

It is an arithmetic number, because the mean of its divisors is an integer number (1381653).

Almost surely, 234505172 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 34505172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49739508).

34505172 is an abundant number, since it is smaller than the sum of its proper divisors (64973844).

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

34505172 is a wasteful number, since it uses less digits than its factorization.

34505172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4377 (or 4372 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 34505172 is about 5874.1103156138. The cubic root of 34505172 is about 325.5577704027.

The spelling of 34505172 in words is "thirty-four million, five hundred five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 4337 7956 8674 13011 17348 26022 39033 52044 56381 73729 78066 112762 147458 156132 169143 221187 225524 294916 338286 442374 507429 663561 676572 884748 958477 1014858 1327122 1916954 2029716 2654244 2875431 3833908 5750862 8626293 11501724 17252586 34505172