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2628234 = 233717409
BaseRepresentation
bin1010000001101010001010
311221112021000
422001222022
51133100414
6132155430
731224330
oct12015212
94845230
102628234
1115356a4
12a68b76
1371038b
144c5b50
1536db09
hex281a8a

2628234 has 64 divisors (see below), whose sum is σ = 7084800. Its totient is φ = 705024.

The previous prime is 2628229. The next prime is 2628277. The reversal of 2628234 is 4328262.

2628234 is a `hidden beast` number, since 2 + 628 + 2 + 34 = 666.

It is a super-2 number, since 2×26282342 = 13815227917512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2628198 and 2628207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6222 + ... + 6630.

It is an arithmetic number, because the mean of its divisors is an integer number (110700).

22628234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2628234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542400).

2628234 is an abundant number, since it is smaller than the sum of its proper divisors (4456566).

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

2628234 is a wasteful number, since it uses less digits than its factorization.

2628234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 438 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2628234 is about 1621.1829014642. The cubic root of 2628234 is about 138.0028354805.

The spelling of 2628234 in words is "two million, six hundred twenty-eight thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 409 459 714 818 918 1071 1227 2142 2454 2863 3213 3681 5726 6426 6953 7362 8589 11043 13906 17178 20859 22086 25767 41718 48671 51534 62577 77301 97342 125154 146013 154602 187731 292026 375462 438039 876078 1314117 2628234