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345513015 = 325172373269
BaseRepresentation
bin10100100110000…
…001110000110111
3220002010212202100
4110212001300313
51201422404030
654141313143
711363545401
oct2446016067
9802125670
10345513015
11168040051
12978657b3
1356774a93
1433c5db71
15204ee360
hex14981c37

345513015 has 96 divisors (see below), whose sum is σ = 673246080. Its totient is φ = 163012608.

The previous prime is 345513013. The next prime is 345513017. The reversal of 345513015 is 510315543.

It is an interprime number because it is at equal distance from previous prime (345513013) and next prime (345513017).

It is not a de Polignac number, because 345513015 - 21 = 345513013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 345513015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345513013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1284301 + ... + 1284569.

It is an arithmetic number, because the mean of its divisors is an integer number (7012980).

Almost surely, 2345513015 is an apocalyptic number.

345513015 is a deficient number, since it is larger than the sum of its proper divisors (327733065).

345513015 is a wasteful number, since it uses less digits than its factorization.

345513015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 345513015 is about 18587.9803905642. The cubic root of 345513015 is about 701.7053759153.

Adding to 345513015 its reverse (510315543), we get a palindrome (855828558).

The spelling of 345513015 in words is "three hundred forty-five million, five hundred thirteen thousand, fifteen".

Divisors: 1 3 5 9 15 17 23 45 51 69 73 85 115 153 207 219 255 269 345 365 391 657 765 807 1035 1095 1173 1241 1345 1679 1955 2421 3285 3519 3723 4035 4573 5037 5865 6187 6205 8395 11169 12105 13719 15111 17595 18561 18615 19637 22865 25185 28543 30935 41157 55683 55845 58911 68595 75555 85629 92805 98185 105179 142715 176733 205785 256887 278415 294555 315537 333829 428145 451651 525895 883665 946611 1001487 1284435 1354953 1577685 1669145 2258255 3004461 4064859 4733055 5007435 6774765 7678067 15022305 20324295 23034201 38390335 69102603 115171005 345513015