Search a number
-
+
339552 = 2534131
BaseRepresentation
bin1010010111001100000
3122020210000
41102321200
541331202
611140000
72612643
oct1227140
9566700
10339552
11212124
12144600
13bb725
148ba5a
156a91c
hex52e60

339552 has 60 divisors (see below), whose sum is σ = 1006236. Its totient is φ = 112320.

The previous prime is 339539. The next prime is 339557. The reversal of 339552 is 255933.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 339552.

It is not an unprimeable number, because it can be changed into a prime (339557) by changing a digit.

339552 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 9 ways as a sum of consecutive naturals, for example, 2527 + ... + 2657.

2339552 is an apocalyptic number.

339552 is a gapful number since it is divisible by the number (32) 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 339552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503118).

339552 is an abundant number, since it is smaller than the sum of its proper divisors (666684).

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

339552 is a wasteful number, since it uses less digits than its factorization.

339552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its digits is 4050, while the sum is 27.

The square root of 339552 is about 582.7109060246. The cubic root of 339552 is about 69.7646517954.

The spelling of 339552 in words is "three hundred thirty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 131 144 162 216 262 288 324 393 432 524 648 786 864 1048 1179 1296 1572 2096 2358 2592 3144 3537 4192 4716 6288 7074 9432 10611 12576 14148 18864 21222 28296 37728 42444 56592 84888 113184 169776 339552