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34894220 = 22523312447
BaseRepresentation
bin1000010100011…
…1000110001100
32102122210212112
42011013012030
532413103340
63243523152
7602411264
oct205070614
972583775
1034894220
11187735a9
12b8294b8
1372c988a
1448c47a4
1530e4065
hex214718c

34894220 has 48 divisors (see below), whose sum is σ = 78962688. Its totient is φ = 12914880.

The previous prime is 34894201. The next prime is 34894253. The reversal of 34894220 is 2249843.

34894220 = T971 + T972 + ... + T1039.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13037 + ... + 15483.

It is an arithmetic number, because the mean of its divisors is an integer number (1645056).

Almost surely, 234894220 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 34894220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39481344).

34894220 is an abundant number, since it is smaller than the sum of its proper divisors (44068468).

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

34894220 is a wasteful number, since it uses less digits than its factorization.

34894220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 34894220 is about 5907.1329763262. The cubic root of 34894220 is about 326.7767619098.

The spelling of 34894220 in words is "thirty-four million, eight hundred ninety-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 713 1426 2447 2852 3565 4894 7130 9788 12235 14260 24470 48940 56281 75857 112562 151714 225124 281405 303428 379285 562810 758570 1125620 1517140 1744711 3489422 6978844 8723555 17447110 34894220