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315233040 = 24351777263
BaseRepresentation
bin10010110010100…
…001001100010000
3210222011111102210
4102302201030100
51121144424130
651140312120
710545302523
oct2262411420
9728144383
10315233040
11151a39281
12896a2640
1350402535
142dc1abba
151ca1c5b0
hex12ca1310

315233040 has 80 divisors (see below), whose sum is σ = 1034719488. Its totient is φ = 79116288.

The previous prime is 315233033. The next prime is 315233059. The reversal of 315233040 is 40332513.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 315232998 and 315233016.

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, 34552 + ... + 42711.

Almost surely, 2315233040 is an apocalyptic number.

315233040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315233040 is an abundant number, since it is smaller than the sum of its proper divisors (719486448).

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

315233040 is a wasteful number, since it uses less digits than its factorization.

315233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77296 (or 77290 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 315233040 is about 17754.8032937569. The cubic root of 315233040 is about 680.5769613061.

Adding to 315233040 its reverse (40332513), we get a palindrome (355565553).

The spelling of 315233040 in words is "three hundred fifteen million, two hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 77263 154526 231789 309052 386315 463578 618104 772630 927156 1158945 1236208 1313471 1545260 1854312 2317890 2626942 3090520 3708624 3940413 4635780 5253884 6181040 6567355 7880826 9271560 10507768 13134710 15761652 18543120 19702065 21015536 26269420 31523304 39404130 52538840 63046608 78808260 105077680 157616520 315233040