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34221628 = 22710112101
BaseRepresentation
bin1000001010001…
…0111000111100
32101101122020201
42002202320330
532230043003
63221253244
7563610340
oct202427074
971348221
1034221628
1118354241
12b564224
1371226ac
14478b620
15300eb1d
hex20a2e3c

34221628 has 24 divisors (see below), whose sum is σ = 69126624. Its totient is φ = 14520000.

The previous prime is 34221619. The next prime is 34221637. The reversal of 34221628 is 82612243.

It is an interprime number because it is at equal distance from previous prime (34221619) and next prime (34221637).

It is a super-2 number, since 2×342216282 = 2342239645940768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 34221596 and 34221605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3223 + ... + 8878.

It is an arithmetic number, because the mean of its divisors is an integer number (2880276).

Almost surely, 234221628 is an apocalyptic number.

It is an amenable number.

34221628 is an abundant number, since it is smaller than the sum of its proper divisors (34904996).

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

34221628 is a wasteful number, since it uses less digits than its factorization.

34221628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12213 (or 12211 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 34221628 is about 5849.9254696107. The cubic root of 34221628 is about 324.6635666441.

It can be divided in two parts, 3422 and 1628, that added together give a triangular number (5050 = T100).

The spelling of 34221628 in words is "thirty-four million, two hundred twenty-one thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 28 101 202 404 707 1414 2828 12101 24202 48404 84707 169414 338828 1222201 2444402 4888804 8555407 17110814 34221628