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313342020 = 223451271523
BaseRepresentation
bin10010101011010…
…011100001000100
3210211121102110000
4102223103201010
51120203421040
651032001300
710523235405
oct2253234104
9724542400
10313342020
11150967552
1288b30230
134cbbc8a4
142d8879ac
151c797130
hex12ad3844

313342020 has 120 divisors (see below), whose sum is σ = 991355904. Its totient is φ = 82845504.

The previous prime is 313342019. The next prime is 313342037. The reversal of 313342020 is 20243313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313341984 and 313342002.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 204979 + ... + 206501.

Almost surely, 2313342020 is an apocalyptic number.

313342020 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 313342020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495677952).

313342020 is an abundant number, since it is smaller than the sum of its proper divisors (678013884).

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

313342020 is a wasteful number, since it uses less digits than its factorization.

313342020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 313342020 is about 17701.4694305303. The cubic root of 313342020 is about 679.2133492613.

Adding to 313342020 its reverse (20243313), we get a palindrome (333585333).

The spelling of 313342020 in words is "three hundred thirteen million, three hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 127 135 162 180 254 270 324 381 405 508 540 635 762 810 1143 1270 1523 1524 1620 1905 2286 2540 3046 3429 3810 4569 4572 5715 6092 6858 7615 7620 9138 10287 11430 13707 13716 15230 17145 18276 20574 22845 22860 27414 30460 34290 41121 41148 45690 51435 54828 68535 68580 82242 91380 102870 123363 137070 164484 193421 205605 205740 246726 274140 386842 411210 493452 580263 616815 773684 822420 967105 1160526 1233630 1740789 1934210 2321052 2467260 2901315 3481578 3868420 5222367 5802630 6963156 8703945 10444734 11605260 15667101 17407890 20889468 26111835 31334202 34815780 52223670 62668404 78335505 104447340 156671010 313342020