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349624 = 231129137
BaseRepresentation
bin1010101010110111000
3122202121001
41111112320
542141444
611254344
72654212
oct1252670
9582531
10349624
11219750
1214a3b4
13c31a2
14915b2
156d8d4
hex555b8

349624 has 32 divisors (see below), whose sum is σ = 745200. Its totient is φ = 152320.

The previous prime is 349603. The next prime is 349637. The reversal of 349624 is 426943.

It is a d-powerful number, because it can be written as 37 + 4 + 67 + 95 + 213 + 44 .

It is a junction number, because it is equal to n+sod(n) for n = 349592 and 349601.

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, 2484 + ... + 2620.

2349624 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 349624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372600).

349624 is an abundant number, since it is smaller than the sum of its proper divisors (395576).

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

349624 is a wasteful number, since it uses less digits than its factorization.

349624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 349624 is about 591.2901149182. The cubic root of 349624 is about 70.4477422372.

The spelling of 349624 in words is "three hundred forty-nine thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 137 232 274 319 548 638 1096 1276 1507 2552 3014 3973 6028 7946 12056 15892 31784 43703 87406 174812 349624