Search a number
-
+
3612140340 = 2235234196247
BaseRepresentation
bin1101011101001100…
…1110001100110100
3100022201212202000120
43113103032030310
524344201442330
61354232411540
7155340454254
oct32723161464
910281782016
103612140340
111593a60556
12849846bb0
13457470c63
14263a2d964
151621adc10
hexd74ce334

3612140340 has 96 divisors (see below), whose sum is σ = 10580613120. Its totient is φ = 919011456.

The previous prime is 3612140321. The next prime is 3612140359. The reversal of 3612140340 is 430412163.

It is an interprime number because it is at equal distance from previous prime (3612140321) and next prime (3612140359).

It is a self number, because there is not a number n which added to its sum of digits gives 3612140340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575097 + ... + 581343.

It is an arithmetic number, because the mean of its divisors is an integer number (110214720).

Almost surely, 23612140340 is an apocalyptic number.

3612140340 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 3612140340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5290306560).

3612140340 is an abundant number, since it is smaller than the sum of its proper divisors (6968472780).

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

3612140340 is a wasteful number, since it uses less digits than its factorization.

3612140340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6701 (or 6699 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3612140340 is about 60101.0843496189. The cubic root of 3612140340 is about 1534.3397571502.

The spelling of 3612140340 in words is "three billion, six hundred twelve million, one hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 419 460 690 838 1257 1380 1676 2095 2514 4190 5028 6247 6285 8380 9637 12494 12570 18741 19274 24988 25140 28911 31235 37482 38548 48185 57822 62470 74964 93705 96370 115644 124940 143681 144555 187410 192740 287362 289110 374820 431043 574724 578220 718405 862086 1436810 1724172 2155215 2617493 2873620 4310430 5234986 7852479 8620860 10469972 13087465 15704958 26174930 31409916 39262395 52349860 60202339 78524790 120404678 157049580 180607017 240809356 301011695 361214034 602023390 722428068 903035085 1204046780 1806070170 3612140340