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3249428140 = 225723379839
BaseRepresentation
bin1100000110101110…
…0101011010101100
322101110101001102101
43001223211122230
523123323200030
61254234304444
7143344453300
oct30153453254
98343331371
103249428140
111418243502
12768288124
133ca28685a
1422b7b3d00
151404137ca
hexc1ae56ac

3249428140 has 72 divisors (see below), whose sum is σ = 7962252480. Its totient is φ = 1110670848.

The previous prime is 3249428129. The next prime is 3249428167. The reversal of 3249428140 is 418249423.

3249428140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3249428140.

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, 325341 + ... + 335179.

It is an arithmetic number, because the mean of its divisors is an integer number (110586840).

Almost surely, 23249428140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3249428140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981126240).

3249428140 is an abundant number, since it is smaller than the sum of its proper divisors (4712824340).

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

3249428140 is a wasteful number, since it uses less digits than its factorization.

3249428140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10199 (or 10190 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 3249428140 is about 57003.7554903184. The cubic root of 3249428140 is about 1481.1611504921.

The spelling of 3249428140 in words is "three billion, two hundred forty-nine million, four hundred twenty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 337 490 674 980 1348 1685 2359 3370 4718 6740 9436 9839 11795 16513 19678 23590 33026 39356 47180 49195 66052 68873 82565 98390 137746 165130 196780 275492 330260 344365 482111 688730 964222 1377460 1928444 2410555 3315743 4821110 6631486 9642220 13262972 16578715 23210201 33157430 46420402 66314860 92840804 116051005 162471407 232102010 324942814 464204020 649885628 812357035 1624714070 3249428140