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34685872 = 2413374507
BaseRepresentation
bin1000010001010…
…0001110110000
32102021020001221
42010110032300
532334421442
63235234424
7600552664
oct204241660
972236057
1034685872
1118641011
12b748a14
137255ab0
14486c8a4
1530a2467
hex21143b0

34685872 has 40 divisors (see below), whose sum is σ = 74345936. Its totient is φ = 15572736.

The previous prime is 34685857. The next prime is 34685873. The reversal of 34685872 is 27858643.

It is not an unprimeable number, because it can be changed into a prime (34685873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5443 + ... + 9949.

Almost surely, 234685872 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 34685872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37172968).

34685872 is an abundant number, since it is smaller than the sum of its proper divisors (39660064).

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

34685872 is a wasteful number, since it uses less digits than its factorization.

34685872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4565 (or 4559 counting only the distinct ones).

The product of its digits is 322560, while the sum is 43.

The square root of 34685872 is about 5889.4712835704. The cubic root of 34685872 is about 326.1250852997.

The spelling of 34685872 in words is "thirty-four million, six hundred eighty-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1924 3848 4507 7696 9014 18028 36056 58591 72112 117182 166759 234364 333518 468728 667036 937456 1334072 2167867 2668144 4335734 8671468 17342936 34685872