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345429648 = 24328926953
BaseRepresentation
bin10100100101101…
…101011010010000
3220001222122101200
4110211231122100
51201412222043
654135431200
711363050344
oct2445553220
9801878350
10345429648
11167a93453
1297825500
1356745b55
1433c3b624
15204d47d3
hex1496d690

345429648 has 60 divisors (see below), whose sum is σ = 977621580. Its totient is φ = 113845248.

The previous prime is 345429607. The next prime is 345429653. The reversal of 345429648 is 846924543.

It can be written as a sum of positive squares in 2 ways, for example, as 148644864 + 196784784 = 12192^2 + 14028^2 .

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 11 ways as a sum of consecutive naturals, for example, 661 + ... + 26292.

It is an arithmetic number, because the mean of its divisors is an integer number (16293693).

Almost surely, 2345429648 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 345429648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488810790).

345429648 is an abundant number, since it is smaller than the sum of its proper divisors (632191932).

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

345429648 is a wasteful number, since it uses less digits than its factorization.

345429648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27056 (or 27047 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 345429648 is about 18585.7377577539. The cubic root of 345429648 is about 701.6489344547.

The spelling of 345429648 in words is "three hundred forty-five million, four hundred twenty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1602 2136 3204 4272 6408 12816 26953 53906 80859 107812 161718 215624 242577 323436 431248 485154 646872 970308 1293744 1940616 2398817 3881232 4797634 7196451 9595268 14392902 19190536 21589353 28785804 38381072 43178706 57571608 86357412 115143216 172714824 345429648