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34890732 = 223217471213
BaseRepresentation
bin1000010100011…
…0001111101100
32102122122002100
42011012033230
532413000412
63243455100
7602365152
oct205061754
972578070
1034890732
1118770a18
12b827490
1372c8106
1448c33d2
1530e2edc
hex21463ec

34890732 has 72 divisors (see below), whose sum is σ = 95449536. Its totient is φ = 10704384.

The previous prime is 34890731. The next prime is 34890761. The reversal of 34890732 is 23709843.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34890731) 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, 28158 + ... + 29370.

It is an arithmetic number, because the mean of its divisors is an integer number (1325688).

Almost surely, 234890732 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 34890732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47724768).

34890732 is an abundant number, since it is smaller than the sum of its proper divisors (60558804).

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

34890732 is a wasteful number, since it uses less digits than its factorization.

34890732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 34890732 is about 5906.8377326620. The cubic root of 34890732 is about 326.7658734271.

The spelling of 34890732 in words is "thirty-four million, eight hundred ninety thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 47 51 68 94 102 141 153 188 204 282 306 423 564 612 799 846 1213 1598 1692 2397 2426 3196 3639 4794 4852 7191 7278 9588 10917 14382 14556 20621 21834 28764 41242 43668 57011 61863 82484 114022 123726 171033 185589 228044 247452 342066 371178 513099 684132 742356 969187 1026198 1938374 2052396 2907561 3876748 5815122 8722683 11630244 17445366 34890732