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34482864 = 2431373757
BaseRepresentation
bin1000001110001…
…0101010110000
32101212220121010
42003202222300
532311422424
63231030520
7566046063
oct203425260
971786533
1034482864
1118512539
12b66b440
1371b4580
1448188da
153062229
hex20e2ab0

34482864 has 80 divisors (see below), whose sum is σ = 97375712. Its totient is φ = 10450944.

The previous prime is 34482863. The next prime is 34482869. The reversal of 34482864 is 46828443.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34482863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45174 + ... + 45930.

Almost surely, 234482864 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 34482864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48687856).

34482864 is an abundant number, since it is smaller than the sum of its proper divisors (62892848).

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

34482864 is a wasteful number, since it uses less digits than its factorization.

34482864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 848 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 34482864 is about 5872.2111678651. The cubic root of 34482864 is about 325.4875963004.

The spelling of 34482864 in words is "thirty-four million, four hundred eighty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 73 78 104 146 156 208 219 292 312 438 584 624 757 876 949 1168 1514 1752 1898 2271 2847 3028 3504 3796 4542 5694 6056 7592 9084 9841 11388 12112 15184 18168 19682 22776 29523 36336 39364 45552 55261 59046 78728 110522 118092 157456 165783 221044 236184 331566 442088 472368 663132 718393 884176 1326264 1436786 2155179 2652528 2873572 4310358 5747144 8620716 11494288 17241432 34482864