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342045000 = 23325411691
BaseRepresentation
bin10100011000110…
…011000101001000
3212211121200112100
4110120303011020
51200030420000
653535113400
711322222513
oct2430630510
9784550470
10342045000
11166091520
1296672860
1355b2c3bb
14335d9d7a
1520066a00
hex14633148

342045000 has 240 divisors, whose sum is σ = 1264657680. Its totient is φ = 82800000.

The previous prime is 342044999. The next prime is 342045013. The reversal of 342045000 is 540243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 494655 + ... + 495345.

It is an arithmetic number, because the mean of its divisors is an integer number (5269407).

Almost surely, 2342045000 is an apocalyptic number.

342045000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632328840).

342045000 is an abundant number, since it is smaller than the sum of its proper divisors (922612680).

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

342045000 is a wasteful number, since it uses less digits than its factorization.

342045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 342045000 is about 18494.4586295463. The cubic root of 342045000 is about 699.3497362618.

Adding to 342045000 its reverse (540243), we get a palindrome (342585243).

It can be divided in two parts, 34204 and 5000, that added together give a square (39204 = 1982).

The spelling of 342045000 in words is "three hundred forty-two million, forty-five thousand".