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34208064 = 2632115399
BaseRepresentation
bin1000001001111…
…1100101000000
32101100221122100
42002133211000
532224124224
63221110400
7563522652
oct202374500
971327570
1034208064
1118345030
12b558400
137119477
1447866d2
15300aac9
hex209f940

34208064 has 84 divisors (see below), whose sum is σ = 106984800. Its totient is φ = 10364160.

The previous prime is 34208047. The next prime is 34208071. The reversal of 34208064 is 46080243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3637 + ... + 9035.

Almost surely, 234208064 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 34208064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53492400).

34208064 is an abundant number, since it is smaller than the sum of its proper divisors (72776736).

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

34208064 is a wasteful number, since it uses less digits than its factorization.

34208064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5428 (or 5415 counting only the distinct ones).

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

The square root of 34208064 is about 5848.7660237011. The cubic root of 34208064 is about 324.6206666924.

The spelling of 34208064 in words is "thirty-four million, two hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 5399 6336 10798 16197 21596 32394 43192 48591 59389 64788 86384 97182 118778 129576 172768 178167 194364 237556 259152 345536 356334 388728 475112 518304 534501 712668 777456 950224 1036608 1069002 1425336 1554912 1900448 2138004 2850672 3109824 3800896 4276008 5701344 8552016 11402688 17104032 34208064