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34275252 = 22311733557
BaseRepresentation
bin1000001010111…
…1111110110100
32101111100210210
42002233332310
532233302002
63222345420
7564222564
oct202577664
971440723
1034275252
1118390560
12b58b270
137140c1b
1447a2da4
15302096c
hex20affb4

34275252 has 48 divisors (see below), whose sum is σ = 88466112. Its totient is φ = 10241280.

The previous prime is 34275239. The next prime is 34275253. The reversal of 34275252 is 25257243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34275253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7858 + ... + 11414.

It is an arithmetic number, because the mean of its divisors is an integer number (1843044).

Almost surely, 234275252 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 34275252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44233056).

34275252 is an abundant number, since it is smaller than the sum of its proper divisors (54190860).

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

34275252 is a wasteful number, since it uses less digits than its factorization.

34275252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3646 counting only the distinct ones).

The product of its digits is 16800, while the sum is 30.

The square root of 34275252 is about 5854.5069818047. The cubic root of 34275252 is about 324.8330566669.

Subtracting from 34275252 its reverse (25257243), we obtain a square (9018009 = 30032).

The spelling of 34275252 in words is "thirty-four million, two hundred seventy-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 292 438 803 876 1606 2409 3212 3557 4818 7114 9636 10671 14228 21342 39127 42684 78254 117381 156508 234762 259661 469524 519322 778983 1038644 1557966 2856271 3115932 5712542 8568813 11425084 17137626 34275252