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340332342 = 237229179223
BaseRepresentation
bin10100010010010…
…000111100110110
3212201101200012120
4110102100330312
51144111113332
653434300410
711301530400
oct2422207466
9781350176
10340332342
111651217a9
1295b87706
135567c9ac
14332b1b70
151ed2932c
hex14490f36

340332342 has 96 divisors (see below), whose sum is σ = 827366400. Its totient is φ = 92941632.

The previous prime is 340332341. The next prime is 340332397. The reversal of 340332342 is 243233043.

340332342 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3403323422 = 231652206022409928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340332341) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1526043 + ... + 1526265.

It is an arithmetic number, because the mean of its divisors is an integer number (8618400).

Almost surely, 2340332342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340332342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413683200).

340332342 is an abundant number, since it is smaller than the sum of its proper divisors (487034058).

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

340332342 is a wasteful number, since it uses less digits than its factorization.

340332342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 340332342 is about 18448.0986012109. The cubic root of 340332342 is about 698.1805415799.

Adding to 340332342 its reverse (243233043), we get a palindrome (583565385).

The spelling of 340332342 in words is "three hundred forty million, three hundred thirty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 179 203 223 294 358 406 446 537 609 669 1074 1218 1253 1338 1421 1561 2506 2842 3122 3759 4263 4683 5191 6467 7518 8526 8771 9366 10382 10927 12934 15573 17542 19401 21854 26313 31146 32781 36337 38802 39917 45269 52626 65562 72674 79834 90538 109011 119751 135807 218022 239502 254359 271614 279419 316883 508718 558838 633766 763077 838257 950649 1157593 1526154 1676514 1901298 1955933 2315186 3472779 3911866 5867799 6945558 8103151 11735598 16206302 24309453 48618906 56722057 113444114 170166171 340332342