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34013360 = 2453711491
BaseRepresentation
bin1000000111000…
…0000010110000
32101000001120002
42001300002300
532201411420
63213005132
7562052213
oct201600260
971001502
1034013360
1118221817
12b4837a8
13707b964
14473577a
152ebd075
hex20700b0

34013360 has 40 divisors (see below), whose sum is σ = 81225456. Its totient is φ = 13236480.

The previous prime is 34013351. The next prime is 34013393. The reversal of 34013360 is 6331043.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2786 + ... + 8705.

Almost surely, 234013360 is an apocalyptic number.

It is an amenable number.

34013360 is an abundant number, since it is smaller than the sum of its proper divisors (47212096).

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

34013360 is a wasteful number, since it uses less digits than its factorization.

34013360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11541 (or 11535 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 34013360 is about 5832.0973928768. The cubic root of 34013360 is about 324.0036071335.

The spelling of 34013360 in words is "thirty-four million, thirteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 11491 22982 45964 57455 91928 114910 183856 229820 425167 459640 850334 919280 1700668 2125835 3401336 4251670 6802672 8503340 17006680 34013360