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345311016 = 233195931277
BaseRepresentation
bin10100100101010…
…000011100101000
3220001202121122220
4110211100130220
51201344423031
654133114040
711362044441
oct2445203450
9801677586
10345311016
11167a12306
1297788920
1356703b5b
1433c0a2c8
15204ae596
hex14950728

345311016 has 64 divisors (see below), whose sum is σ = 910958400. Its totient is φ = 108776448.

The previous prime is 345310993. The next prime is 345311023. The reversal of 345311016 is 610113543.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269770 + ... + 271046.

It is an arithmetic number, because the mean of its divisors is an integer number (14233725).

Almost surely, 2345311016 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 345311016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455479200).

345311016 is an abundant number, since it is smaller than the sum of its proper divisors (565647384).

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

345311016 is a wasteful number, since it uses less digits than its factorization.

345311016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 345311016 is about 18582.5460042482. The cubic root of 345311016 is about 701.5686020845.

Adding to 345311016 its reverse (610113543), we get a palindrome (955424559).

The spelling of 345311016 in words is "three hundred forty-five million, three hundred eleven thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 593 1186 1277 1779 2372 2554 3558 3831 4744 5108 7116 7662 10216 11267 14232 15324 22534 24263 30648 33801 45068 48526 67602 72789 90136 97052 135204 145578 194104 270408 291156 582312 757261 1514522 2271783 3029044 4543566 6058088 9087132 14387959 18174264 28775918 43163877 57551836 86327754 115103672 172655508 345311016