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315442000 = 2453157721
BaseRepresentation
bin10010110011010…
…100001101010000
3210222120010002001
4102303110031100
51121223121000
651145003344
710550132656
oct2263241520
9728503061
10315442000
11152071275
1289783554
1350476693
142dc72dd6
151ca5e46a
hex12cd4350

315442000 has 40 divisors (see below), whose sum is σ = 762743592. Its totient is φ = 126176000.

The previous prime is 315441977. The next prime is 315442003. The reversal of 315442000 is 244513.

It can be written as a sum of positive squares in 4 ways, for example, as 166464 + 315275536 = 408^2 + 17756^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315442003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76861 + ... + 80860.

Almost surely, 2315442000 is an apocalyptic number.

It is an amenable number.

315442000 is an abundant number, since it is smaller than the sum of its proper divisors (447301592).

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

315442000 is a wasteful number, since it uses less digits than its factorization.

315442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157744 (or 157728 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 315442000 is about 17760.6869236525. The cubic root of 315442000 is about 680.7273071690.

Adding to 315442000 its reverse (244513), we get a palindrome (315686513).

It can be divided in two parts, 3154 and 42000, that added together give a palindrome (45154).

The spelling of 315442000 in words is "three hundred fifteen million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 157721 315442 630884 788605 1261768 1577210 2523536 3154420 3943025 6308840 7886050 12617680 15772100 19715125 31544200 39430250 63088400 78860500 157721000 315442000