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345331014 = 237292271249
BaseRepresentation
bin10100100101010…
…101010101000110
3220001210122002120
4110211111111012
51201401043024
654133350410
711362156650
oct2445252506
9801718076
10345331014
11167a26336
1297798406
135670cca2
1433c136d0
15204b5479
hex14955546

345331014 has 64 divisors (see below), whose sum is σ = 820800000. Its totient is φ = 94768128.

The previous prime is 345330983. The next prime is 345331031. The reversal of 345331014 is 410133543.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 275862 + ... + 277110.

It is an arithmetic number, because the mean of its divisors is an integer number (12825000).

Almost surely, 2345331014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345331014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410400000).

345331014 is an abundant number, since it is smaller than the sum of its proper divisors (475468986).

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

345331014 is a wasteful number, since it uses less digits than its factorization.

345331014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 345331014 is about 18583.0840820355. The cubic root of 345331014 is about 701.5821451393.

Adding to 345331014 its reverse (410133543), we get a palindrome (755464557).

The spelling of 345331014 in words is "three hundred forty-five million, three hundred thirty-one thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 227 406 454 609 681 1218 1249 1362 1589 2498 3178 3747 4767 6583 7494 8743 9534 13166 17486 19749 26229 36221 39498 46081 52458 72442 92162 108663 138243 217326 253547 276486 283523 507094 567046 760641 850569 1521282 1701138 1984661 3969322 5953983 8222167 11907966 16444334 24666501 49333002 57555169 115110338 172665507 345331014