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341211240 = 233251576037
BaseRepresentation
bin10100010101100…
…111100001101000
3212210001022211100
4110111213201220
51144322224430
653505201400
711312150646
oct2425474150
9783038740
10341211240
11165672067
1296330260
13558c9a56
1433460196
151ee4e960
hex14567868

341211240 has 96 divisors (see below), whose sum is σ = 1116184680. Its totient is φ = 90395136.

The previous prime is 341211239. The next prime is 341211251. The reversal of 341211240 is 42112143.

341211240 is a `hidden beast` number, since 3 + 412 + 11 + 240 = 666.

341211240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 188293284 + 152917956 = 13722^2 + 12366^2 .

It is a super-2 number, since 2×3412112402 = 232850220604675200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53502 + ... + 59538.

Almost surely, 2341211240 is an apocalyptic number.

341211240 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 341211240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558092340).

341211240 is an abundant number, since it is smaller than the sum of its proper divisors (774973440).

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

341211240 is a wasteful number, since it uses less digits than its factorization.

341211240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6211 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 341211240 is about 18471.9040707773. The cubic root of 341211240 is about 698.7810350152.

Adding to 341211240 its reverse (42112143), we get a palindrome (383323383).

The spelling of 341211240 in words is "three hundred forty-one million, two hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 157 180 314 360 471 628 785 942 1256 1413 1570 1884 2355 2826 3140 3768 4710 5652 6037 6280 7065 9420 11304 12074 14130 18111 18840 24148 28260 30185 36222 48296 54333 56520 60370 72444 90555 108666 120740 144888 181110 217332 241480 271665 362220 434664 543330 724440 947809 1086660 1895618 2173320 2843427 3791236 4739045 5686854 7582472 8530281 9478090 11373708 14217135 17060562 18956180 22747416 28434270 34121124 37912360 42651405 56868540 68242248 85302810 113737080 170605620 341211240