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342920656 = 241315710501
BaseRepresentation
bin10100011100001…
…000110111010000
3212220021011201001
4110130020313100
51200241430111
654005551344
711332530451
oct2434106720
9786234631
10342920656
1116662a401
1296a15554
1356077b40
1433787128
152018b1c1
hex14708dd0

342920656 has 40 divisors (see below), whose sum is σ = 720143144. Its totient is φ = 157248000.

The previous prime is 342920647. The next prime is 342920687. The reversal of 342920656 is 656029243.

342920656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 78400 + 342842256 = 280^2 + 18516^2 .

It is a super-2 number, since 2×3429206562 = 235189152622940672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27406 + ... + 37906.

Almost surely, 2342920656 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 342920656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360071572).

342920656 is an abundant number, since it is smaller than the sum of its proper divisors (377222488).

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

342920656 is a wasteful number, since it uses less digits than its factorization.

342920656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10679 (or 10673 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 342920656 is about 18518.1169669057. The cubic root of 342920656 is about 699.9460203273.

Adding to 342920656 its reverse (656029243), we get a palindrome (998949899).

The spelling of 342920656 in words is "three hundred forty-two million, nine hundred twenty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 157 208 314 628 1256 2041 2512 4082 8164 10501 16328 21002 32656 42004 84008 136513 168016 273026 546052 1092104 1648657 2184208 3297314 6594628 13189256 21432541 26378512 42865082 85730164 171460328 342920656