Search a number
-
+
3101728 = 25761227
BaseRepresentation
bin1011110101010000100000
312211120202211
423311100200
51243223403
6150251504
735235640
oct13652040
95746684
103101728
111829413
121056b94
13847a56
145aa520
1541406d
hex2f5420

3101728 has 48 divisors (see below), whose sum is σ = 7124544. Its totient is φ = 1301760.

The previous prime is 3101699. The next prime is 3101729. The reversal of 3101728 is 8271013.

It is a junction number, because it is equal to n+sod(n) for n = 3101699 and 3101708.

It is not an unprimeable number, because it can be changed into a prime (3101729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13551 + ... + 13777.

It is an arithmetic number, because the mean of its divisors is an integer number (148428).

Almost surely, 23101728 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 3101728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562272).

3101728 is an abundant number, since it is smaller than the sum of its proper divisors (4022816).

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

3101728 is a wasteful number, since it uses less digits than its factorization.

3101728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 3101728 is about 1761.1723368257. The cubic root of 3101728 is about 145.8370609841.

The spelling of 3101728 in words is "three million, one hundred one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 227 244 427 454 488 854 908 976 1589 1708 1816 1952 3178 3416 3632 6356 6832 7264 12712 13664 13847 25424 27694 50848 55388 96929 110776 193858 221552 387716 443104 775432 1550864 3101728