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201314340 = 223251765789
BaseRepresentation
bin10111111111111…
…01000000100100
3112000210211100200
423333331000210
5403014024330
631550510500
74663100163
oct1377750044
9460724320
10201314340
11a3700497
1257505430
1332927616
141ca453da
1512a18a60
hexbffd024

201314340 has 72 divisors (see below), whose sum is σ = 646584120. Its totient is φ = 50525184.

The previous prime is 201314303. The next prime is 201314369. The reversal of 201314340 is 43413102.

201314340 is a `hidden beast` number, since 201 + 31 + 434 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50466816 + 150847524 = 7104^2 + 12282^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29835 + ... + 35954.

It is an arithmetic number, because the mean of its divisors is an integer number (8980335).

Almost surely, 2201314340 is an apocalyptic number.

201314340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201314340 is an abundant number, since it is smaller than the sum of its proper divisors (445269780).

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

201314340 is a wasteful number, since it uses less digits than its factorization.

201314340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65821 (or 65816 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 201314340 is about 14188.5284649255. The cubic root of 201314340 is about 586.0818027733.

Adding to 201314340 its reverse (43413102), we get a palindrome (244727442).

The spelling of 201314340 in words is "two hundred one million, three hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 65789 131578 197367 263156 328945 394734 592101 657890 789468 986835 1118413 1184202 1315780 1973670 2236826 2368404 2960505 3355239 3947340 4473652 5592065 5921010 6710478 10065717 11184130 11842020 13420956 16776195 20131434 22368260 33552390 40262868 50328585 67104780 100657170 201314340