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30640064 = 267135261
BaseRepresentation
bin111010011100…
…0011111000000
32010122200021012
41310320133000
530320440224
63012420052
7521302430
oct164703700
963580235
1030640064
1116328374
12a317628
13646a420
1440d82c0
152a5380e
hex1d387c0

30640064 has 56 divisors (see below), whose sum is σ = 74846688. Its totient is φ = 12119040.

The previous prime is 30640019. The next prime is 30640087. The reversal of 30640064 is 46004603.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3194 + ... + 8454.

It is an arithmetic number, because the mean of its divisors is an integer number (1336548).

Almost surely, 230640064 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 30640064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37423344).

30640064 is an abundant number, since it is smaller than the sum of its proper divisors (44206624).

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

30640064 is a wasteful number, since it uses less digits than its factorization.

30640064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5293 (or 5283 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 30640064 is about 5535.3467822712. The cubic root of 30640064 is about 312.9175270194.

Adding to 30640064 its reverse (46004603), we get a palindrome (76644667).

The spelling of 30640064 in words is "thirty million, six hundred forty thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5261 5824 10522 21044 36827 42088 68393 73654 84176 136786 147308 168352 273572 294616 336704 478751 547144 589232 957502 1094288 1178464 1915004 2188576 2356928 3830008 4377152 7660016 15320032 30640064