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271830340 = 2251719291451
BaseRepresentation
bin10000001100111…
…100110101000100
3200221111102010101
4100030330311010
51024042032330
642550133444
76510343165
oct2014746504
9627442111
10271830340
1112a494181
1277051284
1344416c72
142815d76c
1518ce74ca
hex1033cd44

271830340 has 96 divisors (see below), whose sum is σ = 658627200. Its totient is φ = 93542400.

The previous prime is 271830313. The next prime is 271830347. The reversal of 271830340 is 43038172.

It is a junction number, because it is equal to n+sod(n) for n = 271830299 and 271830308.

It is not an unprimeable number, because it can be changed into a prime (271830347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186615 + ... + 188065.

It is an arithmetic number, because the mean of its divisors is an integer number (6860700).

Almost surely, 2271830340 is an apocalyptic number.

271830340 is a gapful number since it is divisible by the number (20) 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 271830340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329313600).

271830340 is an abundant number, since it is smaller than the sum of its proper divisors (386796860).

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

271830340 is a wasteful number, since it uses less digits than its factorization.

271830340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 271830340 is about 16487.2781258763. The cubic root of 271830340 is about 647.7876183791.

The spelling of 271830340 in words is "two hundred seventy-one million, eight hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 19 20 29 34 38 58 68 76 85 95 116 145 170 190 290 323 340 380 493 551 580 646 986 1102 1292 1451 1615 1972 2204 2465 2755 2902 3230 4930 5510 5804 6460 7255 9367 9860 11020 14510 18734 24667 27569 29020 37468 42079 46835 49334 55138 84158 93670 98668 110276 123335 137845 168316 187340 210395 246670 275690 420790 468673 493340 551380 715343 799501 841580 937346 1430686 1599002 1874692 2343365 2861372 3198004 3576715 3997505 4686730 7153430 7995010 9373460 13591517 14306860 15990020 27183034 54366068 67957585 135915170 271830340