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345630054 = 237114211777
BaseRepresentation
bin10100100110011…
…110010101100110
3220002100211022010
4110212132111212
51201440130204
654144015050
711364543540
oct2446362546
9802324263
10345630054
1116810aa80
1297901486
13567b6133
1433c90690
1520523d89
hex1499e566

345630054 has 64 divisors (see below), whose sum is σ = 864364032. Its totient is φ = 89510400.

The previous prime is 345630053. The next prime is 345630113. The reversal of 345630054 is 450036543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345630053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193614 + ... + 195390.

It is an arithmetic number, because the mean of its divisors is an integer number (13505688).

Almost surely, 2345630054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345630054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432182016).

345630054 is an abundant number, since it is smaller than the sum of its proper divisors (518733978).

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

345630054 is a wasteful number, since it uses less digits than its factorization.

345630054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221.

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 345630054 is about 18591.1283681223. The cubic root of 345630054 is about 701.7845988104.

Adding to 345630054 its reverse (450036543), we get a palindrome (795666597).

The spelling of 345630054 in words is "three hundred forty-five million, six hundred thirty thousand, fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 421 462 842 1263 1777 2526 2947 3554 4631 5331 5894 8841 9262 10662 12439 13893 17682 19547 24878 27786 32417 37317 39094 58641 64834 74634 97251 117282 136829 194502 273658 410487 748117 820974 1496234 2244351 4488702 5236819 8229287 10473638 15710457 16458574 24687861 31420914 49375722 57605009 115210018 172815027 345630054