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349517245 = 57211532447
BaseRepresentation
bin10100110101010…
…011010110111101
3220100200022112011
4110311103112331
51203434022440
654403211221
711442563500
oct2465232675
9810608464
10349517245
1116a325530
1299076b11
135754754c
14345c3137
1520a409ea
hex14d535bd

349517245 has 48 divisors (see below), whose sum is σ = 542515968. Its totient is φ = 213682560.

The previous prime is 349517243. The next prime is 349517257. The reversal of 349517245 is 542715943.

It is a happy number.

It is not a de Polignac number, because 349517245 - 21 = 349517243 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 349517198 and 349517207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349517243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141612 + ... + 144058.

It is an arithmetic number, because the mean of its divisors is an integer number (11302416).

Almost surely, 2349517245 is an apocalyptic number.

349517245 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

349517245 is a deficient number, since it is larger than the sum of its proper divisors (192998723).

349517245 is a wasteful number, since it uses less digits than its factorization.

349517245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2523 counting only the distinct ones).

The product of its digits is 151200, while the sum is 40.

The square root of 349517245 is about 18695.3803117241. The cubic root of 349517245 is about 704.4057128179.

The spelling of 349517245 in words is "three hundred forty-nine million, five hundred seventeen thousand, two hundred forty-five".

Divisors: 1 5 7 11 35 49 53 55 77 245 265 371 385 539 583 1855 2447 2597 2695 2915 4081 12235 12985 17129 20405 26917 28567 85645 119903 129691 134585 142835 188419 599515 648455 907837 942095 1318933 1426601 4539185 6354859 6594665 7133005 9986207 31774295 49931035 69903449 349517245