Search a number
-
+
3472728 = 233722953
BaseRepresentation
bin1101001111110101011000
320112102200120
431033311120
51342111403
6202233240
741342400
oct15176530
96472616
103472728
111a62126
1211b5820
1394788c
14665800
15488e53
hex34fd58

3472728 has 48 divisors (see below), whose sum is σ = 10102680. Its totient is φ = 991872.

The previous prime is 3472717. The next prime is 3472739. The reversal of 3472728 is 8272743.

It is an interprime number because it is at equal distance from previous prime (3472717) and next prime (3472739).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301 + ... + 2652.

Almost surely, 23472728 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 3472728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5051340).

3472728 is an abundant number, since it is smaller than the sum of its proper divisors (6629952).

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

3472728 is a wasteful number, since it uses less digits than its factorization.

3472728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2965 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 3472728 is about 1863.5256907271. The cubic root of 3472728 is about 151.4340681861.

The spelling of 3472728 in words is "three million, four hundred seventy-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 2953 5906 8859 11812 17718 20671 23624 35436 41342 62013 70872 82684 124026 144697 165368 248052 289394 434091 496104 578788 868182 1157576 1736364 3472728