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342299328 = 2637257991
BaseRepresentation
bin10100011001110…
…001001011000000
3212212002121101220
4110121301023000
51200112034303
653544355040
711324332140
oct2431611300
9785077356
10342299328
11166245608
1296775a80
1355bbb0a7
1433664920
15200b7053
hex146712c0

342299328 has 112 divisors (see below), whose sum is σ = 1040123904. Its totient is φ = 97320960.

The previous prime is 342299327. The next prime is 342299341. The reversal of 342299328 is 823992243.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 342299328.

It is not an unprimeable number, because it can be changed into a prime (342299327) 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, 344913 + ... + 345903.

Almost surely, 2342299328 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 342299328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520061952).

342299328 is an abundant number, since it is smaller than the sum of its proper divisors (697824576).

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

342299328 is a wasteful number, since it uses less digits than its factorization.

342299328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1260 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 342299328 is about 18501.3331411550. Note that the first 3 decimals coincide. The cubic root of 342299328 is about 699.5230274508.

The spelling of 342299328 in words is "three hundred forty-two million, two hundred ninety-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 257 336 448 514 672 771 991 1028 1344 1542 1799 1982 2056 2973 3084 3598 3964 4112 5397 5946 6168 6937 7196 7928 8224 10794 11892 12336 13874 14392 15856 16448 20811 21588 23784 24672 27748 28784 31712 41622 43176 47568 49344 55496 57568 63424 83244 86352 95136 110992 115136 166488 172704 190272 221984 254687 332976 345408 443968 509374 665952 764061 1018748 1331904 1528122 1782809 2037496 3056244 3565618 4074992 5348427 6112488 7131236 8149984 10696854 12224976 14262472 16299968 21393708 24449952 28524944 42787416 48899904 57049888 85574832 114099776 171149664 342299328