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315741104 = 24748219
BaseRepresentation
bin10010110100011…
…101001110110000
3211000010022100222
4102310131032300
51121312203404
651155232212
710552520000
oct2264351660
9730108328
10315741104
11152255a68
12898a8668
135054c873
142dd10000
151cabcdbe
hex12d1d3b0

315741104 has 50 divisors (see below), whose sum is σ = 713750820. Its totient is φ = 135301152.

The previous prime is 315741103. The next prime is 315741113. The reversal of 315741104 is 401147513.

It is not an unprimeable number, because it can be changed into a prime (315741103) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 34307 + ... + 42525.

Almost surely, 2315741104 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 315741104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356875410).

315741104 is an abundant number, since it is smaller than the sum of its proper divisors (398009716).

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

315741104 is an frugal number, since it uses more digits than its factorization.

315741104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8255 (or 8228 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 315741104 is about 17769.1053235665. The cubic root of 315741104 is about 680.9423957750.

Adding to 315741104 its reverse (401147513), we get a palindrome (716888617).

The spelling of 315741104 in words is "three hundred fifteen million, seven hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2401 2744 4802 5488 8219 9604 16438 19208 32876 38416 57533 65752 115066 131504 230132 402731 460264 805462 920528 1610924 2819117 3221848 5638234 6443696 11276468 19733819 22552936 39467638 45105872 78935276 157870552 315741104