Search a number
-
+
345124320 = 2535719009
BaseRepresentation
bin10100100100100…
…010110111100000
3220001102010120020
4110210202313200
51201322434240
654125113440
711360336232
oct2444426740
9801363506
10345124320
111678a5012
12976b8880
1356669b98
1433b9c252
15204740d0
hex14922de0

345124320 has 48 divisors (see below), whose sum is σ = 1087143120. Its totient is φ = 92033024.

The previous prime is 345124319. The next prime is 345124343. The reversal of 345124320 is 23421543.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3451243202 = 238221592510924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 359025 + ... + 359984.

It is an arithmetic number, because the mean of its divisors is an integer number (22648815).

Almost surely, 2345124320 is an apocalyptic number.

345124320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345124320 is an abundant number, since it is smaller than the sum of its proper divisors (742018800).

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

345124320 is a wasteful number, since it uses less digits than its factorization.

345124320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719027 (or 719019 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 345124320 is about 18577.5219014808. The cubic root of 345124320 is about 701.4421424988.

Adding to 345124320 its reverse (23421543), we get a palindrome (368545863).

The spelling of 345124320 in words is "three hundred forty-five million, one hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 719009 1438018 2157027 2876036 3595045 4314054 5752072 7190090 8628108 10785135 11504144 14380180 17256216 21570270 23008288 28760360 34512432 43140540 57520720 69024864 86281080 115041440 172562160 345124320