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34839220 = 22513472851
BaseRepresentation
bin1000010011100…
…1101010110100
32102120000102111
42010321222310
532404323340
63242420404
7602062033
oct204715264
972500374
1034839220
1118736249
12b801704
1372aa830
1448ac71a
1530d2aea
hex2139ab4

34839220 has 48 divisors (see below), whose sum is σ = 80494848. Its totient is φ = 12585600.

The previous prime is 34839209. The next prime is 34839221. The reversal of 34839220 is 2293843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34839221) 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, 10795 + ... + 13645.

It is an arithmetic number, because the mean of its divisors is an integer number (1676976).

Almost surely, 234839220 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 34839220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40247424).

34839220 is an abundant number, since it is smaller than the sum of its proper divisors (45655628).

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

34839220 is a wasteful number, since it uses less digits than its factorization.

34839220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 34839220 is about 5902.4757517503. The cubic root of 34839220 is about 326.6049839572.

The spelling of 34839220 in words is "thirty-four million, eight hundred thirty-nine thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 470 611 940 1222 2444 2851 3055 5702 6110 11404 12220 14255 28510 37063 57020 74126 133997 148252 185315 267994 370630 535988 669985 741260 1339970 1741961 2679940 3483922 6967844 8709805 17419610 34839220