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345504042 = 23413164057
BaseRepresentation
bin10100100101111…
…111100100101010
3220002010102110000
4110211333210222
51201422112132
654141203430
711363510262
oct2445774452
9802112400
10345504042
11168034334
1297860576
1356770980
1433c5a7a2
15204eb87c
hex1497f92a

345504042 has 40 divisors (see below), whose sum is σ = 833742756. Its totient is φ = 106308288.

The previous prime is 345504041. The next prime is 345504043. The reversal of 345504042 is 240405543.

345504042 is a `hidden beast` number, since 34 + 550 + 40 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (345504041) and next prime (345504043).

It can be written as a sum of positive squares in 2 ways, for example, as 340070481 + 5433561 = 18441^2 + 2331^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 345503997 and 345504015.

It is not an unprimeable number, because it can be changed into a prime (345504041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 79923 + ... + 84134.

Almost surely, 2345504042 is an apocalyptic number.

345504042 is an abundant number, since it is smaller than the sum of its proper divisors (488238714).

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

345504042 is a wasteful number, since it uses less digits than its factorization.

345504042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164084 (or 164075 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 345504042 is about 18587.7390233455. The cubic root of 345504042 is about 701.6993014149.

Adding to 345504042 its reverse (240405543), we get a palindrome (585909585).

The spelling of 345504042 in words is "three hundred forty-five million, five hundred four thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 164057 328114 492171 984342 1476513 2132741 2953026 4265482 4429539 6398223 8859078 12796446 13288617 19194669 26577234 38389338 57584007 115168014 172752021 345504042