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6214368 = 253193407
BaseRepresentation
bin10111101101001011100000
3102200201111210
4113231023200
53042324433
6341110120
7103551456
oct27551340
912621453
106214368
113564a46
1220b8340
131397754
14b7a9d6
1582b463
hex5ed2e0

6214368 has 48 divisors (see below), whose sum is σ = 17176320. Its totient is φ = 1961856.

The previous prime is 6214363. The next prime is 6214399. The reversal of 6214368 is 8634126.

6214368 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6214361) 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, 121 + ... + 3527.

It is an arithmetic number, because the mean of its divisors is an integer number (357840).

Almost surely, 26214368 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 6214368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8588160).

6214368 is an abundant number, since it is smaller than the sum of its proper divisors (10961952).

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

6214368 is a wasteful number, since it uses less digits than its factorization.

6214368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439 (or 3431 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 6214368 is about 2492.8634138276. The cubic root of 6214368 is about 183.8508558270.

The spelling of 6214368 in words is "six million, two hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 3407 6814 10221 13628 20442 27256 40884 54512 64733 81768 109024 129466 163536 194199 258932 327072 388398 517864 776796 1035728 1553592 2071456 3107184 6214368