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342455360 = 26513191431
BaseRepresentation
bin10100011010010…
…111010001000000
3212212101112102212
4110122113101000
51200132032420
653552001252
711325552062
oct2432272100
9785345385
10342455360
11166341865
1296830228
1355c44110
14336a5732
15200e83c5
hex14697440

342455360 has 112 divisors (see below), whose sum is σ = 884846592. Its totient is φ = 125491200.

The previous prime is 342455359. The next prime is 342455369. The reversal of 342455360 is 63554243.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342455369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 794345 + ... + 794775.

It is an arithmetic number, because the mean of its divisors is an integer number (7900416).

Almost surely, 2342455360 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 342455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442423296).

342455360 is an abundant number, since it is smaller than the sum of its proper divisors (542391232).

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

342455360 is a wasteful number, since it uses less digits than its factorization.

342455360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The square root of 342455360 is about 18505.5494379389. The cubic root of 342455360 is about 699.6293003215.

The spelling of 342455360 in words is "three hundred forty-two million, four hundred fifty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 191 208 260 320 382 416 431 520 764 832 862 955 1040 1528 1724 1910 2080 2155 2483 3056 3448 3820 4160 4310 4966 5603 6112 6896 7640 8620 9932 11206 12224 12415 13792 15280 17240 19864 22412 24830 27584 28015 30560 34480 39728 44824 49660 56030 61120 68960 79456 82321 89648 99320 112060 137920 158912 164642 179296 198640 224120 329284 358592 397280 411605 448240 658568 794560 823210 896480 1070173 1317136 1646420 1792960 2140346 2634272 3292840 4280692 5268544 5350865 6585680 8561384 10701730 13171360 17122768 21403460 26342720 34245536 42806920 68491072 85613840 171227680 342455360