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34211220 = 22354113907
BaseRepresentation
bin1000001010000…
…0010110010100
32101101002222020
42002200112110
532224224340
63221133140
7563535111
oct202402624
971332866
1034211220
111834743a
12b55a1b0
13711aa34
144787908
15300b9d0
hex20a0594

34211220 has 48 divisors (see below), whose sum is σ = 98134848. Its totient is φ = 8899840.

The previous prime is 34211201. The next prime is 34211227. The reversal of 34211220 is 2211243.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34211220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34211227) 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, 4494 + ... + 9413.

It is an arithmetic number, because the mean of its divisors is an integer number (2044476).

Almost surely, 234211220 is an apocalyptic number.

34211220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34211220 is an abundant number, since it is smaller than the sum of its proper divisors (63923628).

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

34211220 is a wasteful number, since it uses less digits than its factorization.

34211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13960 (or 13958 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 34211220 is about 5849.0358179789. The cubic root of 34211220 is about 324.6306494392.

Adding to 34211220 its reverse (2211243), we get a palindrome (36422463).

The spelling of 34211220 in words is "thirty-four million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 13907 27814 41721 55628 69535 83442 139070 166884 208605 278140 417210 570187 834420 1140374 1710561 2280748 2850935 3421122 5701870 6842244 8552805 11403740 17105610 34211220