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34320 = 24351113
BaseRepresentation
bin1000011000010000
31202002010
420120100
52044240
6422520
7202026
oct103020
952063
1034320
1123870
1217a40
1312810
14c716
15a280
hex8610

34320 has 80 divisors (see below), whose sum is σ = 124992. Its totient is φ = 7680.

The previous prime is 34319. The next prime is 34327. The reversal of 34320 is 2343.

Adding to 34320 its reverse (2343), we get a palindrome (36663).

It can be divided in two parts, 343 and 20, that added together give a palindrome (363).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 34296 and 34305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34327) 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, 2634 + ... + 2646.

234320 is an apocalyptic number.

34320 is a gapful number since it is divisible by the number (30) 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 34320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496).

34320 is an abundant number, since it is smaller than the sum of its proper divisors (90672).

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

34320 is a wasteful number, since it uses less digits than its factorization.

34320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 34320 is about 185.2565788306. The cubic root of 34320 is about 32.4974356951.

The spelling of 34320 in words is "thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1716 2145 2288 2640 2860 3120 3432 4290 5720 6864 8580 11440 17160 34320