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349596 = 22341383
BaseRepresentation
bin1010101010110011100
3122202120000
41111112130
542141341
611254300
72654142
oct1252634
9582500
10349596
11219725
1214a390
13c3180
1491592
156d8b6
hex5559c

349596 has 60 divisors (see below), whose sum is σ = 996072. Its totient is φ = 106272.

The previous prime is 349589. The next prime is 349603. The reversal of 349596 is 695943.

It is an interprime number because it is at equal distance from previous prime (349589) and next prime (349603).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 349596.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4171 + ... + 4253.

2349596 is an apocalyptic number.

349596 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498036).

349596 is an abundant number, since it is smaller than the sum of its proper divisors (646476).

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

349596 is a wasteful number, since it uses less digits than its factorization.

349596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 349596 is about 591.2664374036. The cubic root of 349596 is about 70.4458615602.

The spelling of 349596 in words is "three hundred forty-nine thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 83 108 117 156 162 166 234 249 324 332 351 468 498 702 747 996 1053 1079 1404 1494 2106 2158 2241 2988 3237 4212 4316 4482 6474 6723 8964 9711 12948 13446 19422 26892 29133 38844 58266 87399 116532 174798 349596