Search a number
-
+
3254125320 = 233356474657
BaseRepresentation
bin1100000111110110…
…0000001100001000
322101210012200202000
43001331200030020
523131024002240
61254523111000
7143432415555
oct30175401410
98353180660
103254125320
11141a961576
12769972460
133cb23c854
1422c277a2c
15140a40430
hexc1f60308

3254125320 has 128 divisors (see below), whose sum is σ = 10866182400. Its totient is φ = 866239488.

The previous prime is 3254125313. The next prime is 3254125327. The reversal of 3254125320 is 235214523.

It is a happy number.

3254125320 is a `hidden beast` number, since 325 + 4 + 12 + 5 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (3254125313) and next prime (3254125327).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3254125327) 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, 696432 + ... + 701088.

It is an arithmetic number, because the mean of its divisors is an integer number (84892050).

Almost surely, 23254125320 is an apocalyptic number.

3254125320 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 3254125320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5433091200).

3254125320 is an abundant number, since it is smaller than the sum of its proper divisors (7612057080).

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

3254125320 is a wasteful number, since it uses less digits than its factorization.

3254125320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5324 (or 5314 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3254125320 is about 57044.9412305771. The cubic root of 3254125320 is about 1481.8744996907.

Adding to 3254125320 its reverse (235214523), we get a palindrome (3489339843).

The spelling of 3254125320 in words is "three billion, two hundred fifty-four million, one hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 647 1080 1294 1941 2588 3235 3882 4657 5176 5823 6470 7764 9314 9705 11646 12940 13971 15528 17469 18628 19410 23285 23292 25880 27942 29115 34938 37256 38820 41913 46570 46584 55884 58230 69855 69876 77640 83826 87345 93140 111768 116460 125739 139710 139752 167652 174690 186280 209565 232920 251478 279420 335304 349380 419130 502956 558840 628695 698760 838260 1005912 1257390 1676520 2514780 3013079 5029560 6026158 9039237 12052316 15065395 18078474 24104632 27117711 30130790 36156948 45196185 54235422 60261580 72313896 81353133 90392370 108470844 120523160 135588555 162706266 180784740 216941688 271177110 325412532 361569480 406765665 542354220 650825064 813531330 1084708440 1627062660 3254125320