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342813440 = 2852231201
BaseRepresentation
bin10100011011101…
…110101100000000
3212220001201122002
4110123232230000
51200230012230
654003403132
711331603044
oct2433565400
9786051562
10342813440
111665668a2
12969834a8
135603b0b8
143375a024
1520169545
hex146eeb00

342813440 has 72 divisors (see below), whose sum is σ = 825514368. Its totient is φ = 136396800.

The previous prime is 342813439. The next prime is 342813463. The reversal of 342813440 is 44318243.

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 7 ways as a sum of consecutive naturals, for example, 284840 + ... + 286040.

Almost surely, 2342813440 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 342813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412757184).

342813440 is an abundant number, since it is smaller than the sum of its proper divisors (482700928).

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

342813440 is a wasteful number, since it uses less digits than its factorization.

342813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 342813440 is about 18515.2218458219. The cubic root of 342813440 is about 699.8730654191.

The spelling of 342813440 in words is "three hundred forty-two million, eight hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 223 256 320 446 640 892 1115 1201 1280 1784 2230 2402 3568 4460 4804 6005 7136 8920 9608 12010 14272 17840 19216 24020 28544 35680 38432 48040 57088 71360 76864 96080 142720 153728 192160 267823 285440 307456 384320 535646 768640 1071292 1339115 1537280 2142584 2678230 4285168 5356460 8570336 10712920 17140672 21425840 34281344 42851680 68562688 85703360 171406720 342813440