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342546064 = 24726612
BaseRepresentation
bin10100011010101…
…101011010010000
3212212120010212021
4110122231122100
51200142433224
653553541224
711326410400
oct2432553220
9785503767
10342546064
111663a3a23
1296874814
1355c764a3
14336ca800
15201151e4
hex146ad690

342546064 has 45 divisors (see below), whose sum is σ = 773209161. Its totient is φ = 146583360.

The previous prime is 342546059. The next prime is 342546097. The reversal of 342546064 is 460645243.

The square root of 342546064 is 18508.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 271986064 + 70560000 = 16492^2 + 8400^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 517894 + ... + 518554.

Almost surely, 2342546064 is an apocalyptic number.

342546064 is the 18508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342546064

342546064 is an abundant number, since it is smaller than the sum of its proper divisors (430663097).

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

342546064 is an frugal number, since it uses more digits than its factorization.

342546064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The cubic root of 342546064 is about 699.6910636748.

The spelling of 342546064 in words is "three hundred forty-two million, five hundred forty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 661 784 1322 2644 4627 5288 9254 10576 18508 32389 37016 64778 74032 129556 259112 436921 518224 873842 1747684 3058447 3495368 6116894 6990736 12233788 21409129 24467576 42818258 48935152 85636516 171273032 342546064