Search a number
-
+
3465056 = 25731499
BaseRepresentation
bin1101001101111101100000
320112001011102
431031331200
51341340211
6202133532
741311130
oct15157540
96461142
103465056
111a57391
1211b12a8
1394423a
14662ac0
15486a3b
hex34df60

3465056 has 48 divisors (see below), whose sum is σ = 8064000. Its totient is φ = 1434240.

The previous prime is 3465053. The next prime is 3465067. The reversal of 3465056 is 6505643.

It is a super-2 number, since 2×34650562 = 24013226166272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3465053) 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, 6695 + ... + 7193.

It is an arithmetic number, because the mean of its divisors is an integer number (168000).

Almost surely, 23465056 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 3465056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032000).

3465056 is an abundant number, since it is smaller than the sum of its proper divisors (4598944).

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

3465056 is a wasteful number, since it uses less digits than its factorization.

3465056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 3465056 is about 1861.4660888665. The cubic root of 3465056 is about 151.3224691992.

The spelling of 3465056 in words is "three million, four hundred sixty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 499 868 992 998 1736 1996 3472 3493 3992 6944 6986 7984 13972 15469 15968 27944 30938 55888 61876 108283 111776 123752 216566 247504 433132 495008 866264 1732528 3465056