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342608544 = 25321189613
BaseRepresentation
bin10100011010111…
…100101010100000
3212212200022120100
4110122330222200
51200201433134
653555142400
711330060505
oct2432745240
9785608510
10342608544
11166436963
12968a4a00
1355c98a65
14337054ac
1520128999
hex146bcaa0

342608544 has 36 divisors (see below), whose sum is σ = 974293866. Its totient is φ = 114202752.

The previous prime is 342608489. The next prime is 342608557. The reversal of 342608544 is 445806243.

342608544 is a `hidden beast` number, since 3 + 4 + 2 + 608 + 5 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 272250000 + 70358544 = 16500^2 + 8388^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3426085442 = 234761228843599872, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 342608499 and 342608508.

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 5 ways as a sum of consecutive naturals, for example, 594519 + ... + 595094.

Almost surely, 2342608544 is an apocalyptic number.

It is an amenable number.

342608544 is an abundant number, since it is smaller than the sum of its proper divisors (631685322).

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

342608544 is a wasteful number, since it uses less digits than its factorization.

342608544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189629 (or 1189618 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 342608544 is about 18509.6878417763. The cubic root of 342608544 is about 699.7336020315.

The spelling of 342608544 in words is "three hundred forty-two million, six hundred eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1189613 2379226 3568839 4758452 7137678 9516904 10706517 14275356 19033808 21413034 28550712 38067616 42826068 57101424 85652136 114202848 171304272 342608544