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34302268 = 22711132659
BaseRepresentation
bin1000001011011…
…0100100111100
32101112201212101
42002312210330
532240133033
63223114444
7564364420
oct202664474
971481771
1034302268
11183a9890
12b5a2a24
137150300
1447acb80
15302897d
hex20b693c

34302268 has 72 divisors (see below), whose sum is σ = 81164160. Its totient is φ = 12317760.

The previous prime is 34302241. The next prime is 34302287. The reversal of 34302268 is 86220343.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51723 + ... + 52381.

It is an arithmetic number, because the mean of its divisors is an integer number (1127280).

Almost surely, 234302268 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 34302268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40582080).

34302268 is an abundant number, since it is smaller than the sum of its proper divisors (46861892).

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

34302268 is a wasteful number, since it uses less digits than its factorization.

34302268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 34302268 is about 5856.8138095726. The cubic root of 34302268 is about 324.9183795035.

The spelling of 34302268 in words is "thirty-four million, three hundred two thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 169 182 286 308 338 364 572 659 676 1001 1183 1318 1859 2002 2366 2636 3718 4004 4613 4732 7249 7436 8567 9226 13013 14498 17134 18452 26026 28996 34268 50743 52052 59969 94237 101486 111371 119938 188474 202972 222742 239876 376948 445484 659659 779597 1225081 1319318 1559194 2450162 2638636 3118388 4900324 8575567 17151134 34302268