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34809048 = 2333295557
BaseRepresentation
bin1000010011001…
…0010011011000
32102111111001000
42010302103120
532402342143
63242025000
7601605051
oct204622330
972444030
1034809048
111871560a
12b7a8160
137299b91
1448a1728
1530c8bd3
hex21324d8

34809048 has 64 divisors (see below), whose sum is σ = 100044000. Its totient is φ = 11200896.

The previous prime is 34809037. The next prime is 34809053. The reversal of 34809048 is 84090843.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3486 + ... + 9042.

Almost surely, 234809048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34809048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50022000).

34809048 is an abundant number, since it is smaller than the sum of its proper divisors (65234952).

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

34809048 is a wasteful number, since it uses less digits than its factorization.

34809048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5601 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 34809048 is about 5899.9193214823. The cubic root of 34809048 is about 326.5106728936.

The spelling of 34809048 in words is "thirty-four million, eight hundred nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 5557 6264 11114 16671 22228 33342 44456 50013 66684 100026 133368 150039 161153 200052 300078 322306 400104 483459 600156 644612 966918 1200312 1289224 1450377 1933836 2900754 3867672 4351131 5801508 8702262 11603016 17404524 34809048