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345065552 = 24132373449
BaseRepresentation
bin10100100100010…
…100100001010000
3220001022010221122
4110210110201100
51201314044202
654123541412
711360003006
oct2444244120
9801263848
10345065552
11167864947
129768a868
1356649200
1433b84a76
15204619a2
hex14914850

345065552 has 60 divisors (see below), whose sum is σ = 743730300. Its totient is φ = 154911744.

The previous prime is 345065537. The next prime is 345065561. The reversal of 345065552 is 255560543.

It can be written as a sum of positive squares in 6 ways, for example, as 85082176 + 259983376 = 9224^2 + 16124^2 .

It is a congruent number.

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, 98324 + ... + 101772.

It is an arithmetic number, because the mean of its divisors is an integer number (12395505).

Almost surely, 2345065552 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 345065552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371865150).

345065552 is an abundant number, since it is smaller than the sum of its proper divisors (398664748).

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

345065552 is a wasteful number, since it uses less digits than its factorization.

345065552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 35.

The square root of 345065552 is about 18575.9401377158. The cubic root of 345065552 is about 701.4023262263.

The spelling of 345065552 in words is "three hundred forty-five million, sixty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 169 208 296 338 481 592 676 962 1352 1924 2704 3449 3848 6253 6898 7696 12506 13796 25012 27592 44837 50024 55184 89674 100048 127613 179348 255226 358696 510452 582881 717392 1020904 1165762 1658969 2041808 2331524 3317938 4663048 6635876 9326096 13271752 21566597 26543504 43133194 86266388 172532776 345065552