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349752 = 233131959
BaseRepresentation
bin1010101011000111000
3122202202210
41111120320
542143002
611255120
72654454
oct1253070
9582683
10349752
11219857
1214a4a0
13c3270
1491664
156d96c
hex55638

349752 has 64 divisors (see below), whose sum is σ = 1008000. Its totient is φ = 100224.

The previous prime is 349729. The next prime is 349753. The reversal of 349752 is 257943.

It is a d-powerful number, because it can be written as 38 + 49 + 74 + 9 + 57 + 29 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349753) by changing a digit.

349752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5899 + ... + 5957.

It is an arithmetic number, because the mean of its divisors is an integer number (15750).

2349752 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 349752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504000).

349752 is an abundant number, since it is smaller than the sum of its proper divisors (658248).

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

349752 is a wasteful number, since it uses less digits than its factorization.

349752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 96 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 349752 is about 591.3983429128. The cubic root of 349752 is about 70.4563383393.

Subtracting from 349752 its reverse (257943), we obtain a square (91809 = 3032).

The spelling of 349752 in words is "three hundred forty-nine thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 59 76 78 104 114 118 152 156 177 228 236 247 312 354 456 472 494 708 741 767 988 1121 1416 1482 1534 1976 2242 2301 2964 3068 3363 4484 4602 5928 6136 6726 8968 9204 13452 14573 18408 26904 29146 43719 58292 87438 116584 174876 349752