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345411240 = 233523125149
BaseRepresentation
bin10100100101101…
…000111010101000
3220001221201010220
4110211220322220
51201411124430
654135210040
711362642566
oct2445507250
9801851126
10345411240
11167a80639
1297816920
135673a665
1433c34a36
15204ce110
hex14968ea8

345411240 has 64 divisors (see below), whose sum is σ = 1081296000. Its totient is φ = 88104192.

The previous prime is 345411239. The next prime is 345411251. The reversal of 345411240 is 42114543.

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

It is a self number, because there is not a number n which added to its sum of digits gives 345411240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59815 + ... + 65334.

It is an arithmetic number, because the mean of its divisors is an integer number (16895250).

Almost surely, 2345411240 is an apocalyptic number.

345411240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345411240 is an abundant number, since it is smaller than the sum of its proper divisors (735884760).

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

345411240 is a wasteful number, since it uses less digits than its factorization.

345411240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125186 (or 125182 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 345411240 is about 18585.2425327193. The cubic root of 345411240 is about 701.6364705728.

Adding to 345411240 its reverse (42114543), we get a palindrome (387525783).

The spelling of 345411240 in words is "three hundred forty-five million, four hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 125149 250298 375447 500596 625745 750894 1001192 1251490 1501788 1877235 2502980 2878427 3003576 3754470 5005960 5756854 7508940 8635281 11513708 14392135 15017880 17270562 23027416 28784270 34541124 43176405 57568540 69082248 86352810 115137080 172705620 345411240