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345058128 = 24322396237
BaseRepresentation
bin10100100100010…
…010101101010000
3220001021202202200
4110210102231100
51201313330003
654123443200
711356642242
oct2444225520
9801252680
10345058128
1116785a308
1297686500
1356645a0c
1433b82092
152045e6a3
hex14912b50

345058128 has 30 divisors (see below), whose sum is σ = 965683914. Its totient is φ = 115019328.

The previous prime is 345058127. The next prime is 345058157. The reversal of 345058128 is 821850543.

It is a happy number.

345058128 is a `hidden beast` number, since 3 + 4 + 50 + 581 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 290770704 + 54287424 = 17052^2 + 7368^2 .

It is a super-2 number, since 2×3450581282 = 238130223397728768, 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 = 345058092 and 345058101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345058127) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1197975 + ... + 1198262.

Almost surely, 2345058128 is an apocalyptic number.

It is an amenable number.

345058128 is an abundant number, since it is smaller than the sum of its proper divisors (620625786).

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

345058128 is a wasteful number, since it uses less digits than its factorization.

345058128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396251 (or 2396242 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 345058128 is about 18575.7403082623. The cubic root of 345058128 is about 701.3972960244.

The spelling of 345058128 in words is "three hundred forty-five million, fifty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2396237 4792474 7188711 9584948 14377422 19169896 21566133 28754844 38339792 43132266 57509688 86264532 115019376 172529064 345058128