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34428930 = 23523411217
BaseRepresentation
bin1000001101010…
…1100000000010
32101210011121120
42003111200002
532303211210
63225533110
7565432614
oct203254002
971704546
1034428930
1118485a68
12b644196
137195b63
144802db4
153051270
hex20d5802

34428930 has 64 divisors (see below), whose sum is σ = 88397568. Its totient is φ = 8560640.

The previous prime is 34428923. The next prime is 34428937. The reversal of 34428930 is 3982443.

It is an interprime number because it is at equal distance from previous prime (34428923) and next prime (34428937).

It is a junction number, because it is equal to n+sod(n) for n = 34428891 and 34428900.

It is not an unprimeable number, because it can be changed into a prime (34428937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27682 + ... + 28898.

It is an arithmetic number, because the mean of its divisors is an integer number (1381212).

Almost surely, 234428930 is an apocalyptic number.

34428930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34428930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44198784).

34428930 is an abundant number, since it is smaller than the sum of its proper divisors (53968638).

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

34428930 is a wasteful number, since it uses less digits than its factorization.

34428930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291.

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 34428930 is about 5867.6170631697. The cubic root of 34428930 is about 325.3178114049.

The spelling of 34428930 in words is "thirty-four million, four hundred twenty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 41 46 69 82 115 123 138 205 230 246 345 410 615 690 943 1217 1230 1886 2434 2829 3651 4715 5658 6085 7302 9430 12170 14145 18255 27991 28290 36510 49897 55982 83973 99794 139955 149691 167946 249485 279910 299382 419865 498970 748455 839730 1147631 1496910 2295262 3442893 5738155 6885786 11476310 17214465 34428930