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315113340 = 223523389587
BaseRepresentation
bin10010110010000…
…011111101111100
3210221221102020110
4102302003331330
51121132111330
651133550020
710544263533
oct2262037574
9727842213
10315113340
11151967353
1289645310
135038cbc9
142dbc931a
151c9e6db0
hex12c83f7c

315113340 has 96 divisors (see below), whose sum is σ = 924618240. Its totient is φ = 80033536.

The previous prime is 315113329. The next prime is 315113369. The reversal of 315113340 is 43311513.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536527 + ... + 537113.

It is an arithmetic number, because the mean of its divisors is an integer number (9631440).

Almost surely, 2315113340 is an apocalyptic number.

315113340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315113340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462309120).

315113340 is an abundant number, since it is smaller than the sum of its proper divisors (609504900).

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

315113340 is a wasteful number, since it uses less digits than its factorization.

315113340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 315113340 is about 17751.4320549076. The cubic root of 315113340 is about 680.4908077146.

Adding to 315113340 its reverse (43311513), we get a palindrome (358424853).

The spelling of 315113340 in words is "three hundred fifteen million, one hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 389 460 587 690 778 1167 1174 1380 1556 1761 1945 2334 2348 2935 3522 3890 4668 5835 5870 7044 7780 8805 8947 11670 11740 13501 17610 17894 23340 26841 27002 35220 35788 40503 44735 53682 54004 67505 81006 89470 107364 134205 135010 162012 178940 202515 228343 268410 270020 405030 456686 536820 685029 810060 913372 1141715 1370058 2283430 2740116 3425145 4566860 5251889 6850290 10503778 13700580 15755667 21007556 26259445 31511334 52518890 63022668 78778335 105037780 157556670 315113340