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342840624 = 24371317789
BaseRepresentation
bin10100011011110…
…101010100110000
3212220010002220220
4110123311110300
51200231344444
654004133040
711332045230
oct2433652460
9786102826
10342840624
11166585265
1296997180
135604a599
1433765cc0
1520172619
hex146f5530

342840624 has 80 divisors (see below), whose sum is σ = 1020053760. Its totient is φ = 97194240.

The previous prime is 342840613. The next prime is 342840661. The reversal of 342840624 is 426048243.

It is a super-3 number, since 3×3428406243 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40122 + ... + 47910.

It is an arithmetic number, because the mean of its divisors is an integer number (12750672).

Almost surely, 2342840624 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 342840624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510026880).

342840624 is an abundant number, since it is smaller than the sum of its proper divisors (677213136).

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

342840624 is a wasteful number, since it uses less digits than its factorization.

342840624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7938 (or 7932 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 342840624 is about 18515.9559299540. The cubic root of 342840624 is about 699.8915641556.

Adding to 342840624 its reverse (426048243), we get a palindrome (768888867).

The spelling of 342840624 in words is "three hundred forty-two million, eight hundred forty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 131 168 262 336 393 524 786 917 1048 1572 1834 2096 2751 3144 3668 5502 6288 7336 7789 11004 14672 15578 22008 23367 31156 44016 46734 54523 62312 93468 109046 124624 163569 186936 218092 327138 373872 436184 654276 872368 1020359 1308552 2040718 2617104 3061077 4081436 6122154 7142513 8162872 12244308 14285026 16325744 21427539 24488616 28570052 42855078 48977232 57140104 85710156 114280208 171420312 342840624