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342312984 = 2332132912611
BaseRepresentation
bin10100011001110…
…100100000011000
3212212010022010200
4110121310200120
51200113003414
653544542200
711324420016
oct2431644030
9785108120
10342312984
111662548a2
1296781960
1355bc4380
14336698b6
15200bb109
hex14674818

342312984 has 96 divisors (see below), whose sum is σ = 1032922800. Its totient is φ = 101687040.

The previous prime is 342312973. The next prime is 342313019. The reversal of 342312984 is 489213243.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20839 + ... + 33449.

Almost surely, 2342312984 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 342312984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516461400).

342312984 is an abundant number, since it is smaller than the sum of its proper divisors (690609816).

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

342312984 is a wasteful number, since it uses less digits than its factorization.

342312984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12665 (or 12658 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 342312984 is about 18501.7021919606. The cubic root of 342312984 is about 699.5323297959.

The spelling of 342312984 in words is "three hundred forty-two million, three hundred twelve thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 29 36 39 52 58 72 78 87 104 116 117 156 174 232 234 261 312 348 377 468 522 696 754 936 1044 1131 1508 2088 2262 3016 3393 4524 6786 9048 12611 13572 25222 27144 37833 50444 75666 100888 113499 151332 163943 226998 302664 327886 365719 453996 491829 655772 731438 907992 983658 1097157 1311544 1462876 1475487 1967316 2194314 2925752 2950974 3291471 3934632 4388628 4754347 5901948 6582942 8777256 9508694 11803896 13165884 14263041 19017388 26331768 28526082 38034776 42789123 57052164 85578246 114104328 171156492 342312984