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34800220 = 22571319121
BaseRepresentation
bin1000010011000…
…0001001011100
32102111000221001
42010300021130
532402101340
63241520044
7601540240
oct204601134
972430831
1034800220
1118709a14
12b7a3024
137295b60
14489c420
1530c629a
hex213025c

34800220 has 48 divisors (see below), whose sum is σ = 89949888. Its totient is φ = 11013120.

The previous prime is 34800217. The next prime is 34800221. The reversal of 34800220 is 2200843.

It is a happy number.

It is a super-2 number, since 2×348002202 = 2422110624096800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34800221) 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, 7741 + ... + 11380.

It is an arithmetic number, because the mean of its divisors is an integer number (1873956).

Almost surely, 234800220 is an apocalyptic number.

It is an amenable number.

34800220 is an abundant number, since it is smaller than the sum of its proper divisors (55149668).

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

34800220 is a wasteful number, since it uses less digits than its factorization.

34800220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19150 (or 19148 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 34800220 is about 5899.1711282179. The cubic root of 34800220 is about 326.4830681941.

The spelling of 34800220 in words is "thirty-four million, eight hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 19121 38242 76484 95605 133847 191210 248573 267694 382420 497146 535388 669235 994292 1242865 1338470 1740011 2485730 2676940 3480022 4971460 6960044 8700055 17400110 34800220