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3254428116 = 2232176478219
BaseRepresentation
bin1100000111111010…
…1010000111010100
322101210210002002200
43001332222013110
523131113144431
61254533404500
7143435116422
oct30176520724
98353702080
103254428116
111420049015
12769a99730
133cb317614
1422c316112
15140a9eee6
hexc1faa1d4

3254428116 has 72 divisors (see below), whose sum is σ = 8724905280. Its totient is φ = 1019294976.

The previous prime is 3254428109. The next prime is 3254428187. The reversal of 3254428116 is 6118244523.

It is a happy number.

3254428116 is a `hidden beast` number, since 32 + 544 + 2 + 81 + 1 + 6 = 666.

3254428116 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×32544281162 = 21182604724422618912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 391855 + ... + 400073.

It is an arithmetic number, because the mean of its divisors is an integer number (121179240).

Almost surely, 23254428116 is an apocalyptic number.

3254428116 is a gapful number since it is divisible by the number (36) 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 3254428116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362452640).

3254428116 is an abundant number, since it is smaller than the sum of its proper divisors (5470477164).

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

3254428116 is a wasteful number, since it uses less digits than its factorization.

3254428116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8893 (or 8888 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 3254428116 is about 57047.5951815675. The cubic root of 3254428116 is about 1481.9204610178.

The spelling of 3254428116 in words is "three billion, two hundred fifty-four million, four hundred twenty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 647 1294 1941 2588 3882 5823 7764 8219 10999 11646 16438 21998 23292 24657 32876 32997 43996 49314 65994 73971 98628 98991 131988 139723 147942 197982 279446 295884 395964 419169 558892 838338 1257507 1676676 2515014 5030028 5317693 10635386 15953079 21270772 31906158 47859237 63812316 90400781 95718474 180801562 191436948 271202343 361603124 542404686 813607029 1084809372 1627214058 3254428116