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34442272 = 251763313
BaseRepresentation
bin1000001101100…
…0110000100000
32101210211220201
42003120300200
532304123042
63230114544
7565516534
oct203306040
971724821
1034442272
1118494a97
12b64ba54
13719bc57
144807bc4
1530551b7
hex20d8c20

34442272 has 24 divisors (see below), whose sum is σ = 71798076. Its totient is φ = 16207872.

The previous prime is 34442251. The next prime is 34442279. The reversal of 34442272 is 27224443.

It can be written as a sum of positive squares in 2 ways, for example, as 30426256 + 4016016 = 5516^2 + 2004^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34442272.

It is not an unprimeable number, because it can be changed into a prime (34442279) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31113 + ... + 32200.

Almost surely, 234442272 is an apocalyptic number.

34442272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34442272 is an abundant number, since it is smaller than the sum of its proper divisors (37355804).

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

34442272 is a wasteful number, since it uses less digits than its factorization.

34442272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63340 (or 63332 counting only the distinct ones).

The product of its digits is 10752, while the sum is 28.

The square root of 34442272 is about 5868.7538711382. The cubic root of 34442272 is about 325.3598286821.

The spelling of 34442272 in words is "thirty-four million, four hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 63313 126626 253252 506504 1013008 1076321 2026016 2152642 4305284 8610568 17221136 34442272