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345031016 = 23112431827
BaseRepresentation
bin10100100100001…
…100000101101000
3220001020101120112
4110210030011220
51201311443031
654123113452
711356500221
oct2444140550
9801211515
10345031016
11167840a00
1297672888
1356636585
1433b76248
152045662b
hex1490c168

345031016 has 48 divisors (see below), whose sum is σ = 713603520. Its totient is φ = 156279200.

The previous prime is 345030991. The next prime is 345031021. The reversal of 345031016 is 610130543.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 345030982 and 345031000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416795 + ... + 417621.

It is an arithmetic number, because the mean of its divisors is an integer number (14866740).

Almost surely, 2345031016 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 345031016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356801760).

345031016 is an abundant number, since it is smaller than the sum of its proper divisors (368572504).

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

345031016 is a wasteful number, since it uses less digits than its factorization.

345031016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 345031016 is about 18575.0105248961. The cubic root of 345031016 is about 701.3789254176.

Adding to 345031016 its reverse (610130543), we get a palindrome (955161559).

The spelling of 345031016 in words is "three hundred forty-five million, thirty-one thousand, sixteen".

Divisors: 1 2 4 8 11 22 44 88 121 242 431 484 827 862 968 1654 1724 3308 3448 4741 6616 9097 9482 18194 18964 36388 37928 52151 72776 100067 104302 200134 208604 356437 400268 417208 712874 800536 1425748 2851496 3920807 7841614 15683228 31366456 43128877 86257754 172515508 345031016