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345534500 = 22536111329
BaseRepresentation
bin10100100110000…
…111000000100100
3220002011222020002
4110212013000210
51201424101000
654142000432
711363665133
oct2446070044
9802158202
10345534500
11168055203
1297876118
13567817ac
1433c6791a
15205058d5
hex14987024

345534500 has 48 divisors (see below), whose sum is σ = 767086320. Its totient is φ = 135936000.

The previous prime is 345534479. The next prime is 345534517. The reversal of 345534500 is 5435543.

It can be written as a sum of positive squares in 8 ways, for example, as 239197156 + 106337344 = 15466^2 + 10312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24836 + ... + 36164.

It is an arithmetic number, because the mean of its divisors is an integer number (15980965).

Almost surely, 2345534500 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 345534500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383543160).

345534500 is an abundant number, since it is smaller than the sum of its proper divisors (421551820).

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

345534500 is a wasteful number, since it uses less digits than its factorization.

345534500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11409 (or 11397 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 29.

The square root of 345534500 is about 18588.5583088092. The cubic root of 345534500 is about 701.7199203047.

The spelling of 345534500 in words is "three hundred forty-five million, five hundred thirty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 125 244 250 305 500 610 1220 1525 3050 6100 7625 11329 15250 22658 30500 45316 56645 113290 226580 283225 566450 691069 1132900 1382138 1416125 2764276 2832250 3455345 5664500 6910690 13821380 17276725 34553450 69106900 86383625 172767250 345534500