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3698064 = 243261421
BaseRepresentation
bin1110000110110110010000
320221212210100
432012312100
51421314224
6211132400
743301346
oct16066620
96855710
103698064
1120a6457
1212a4100
139c6306
146c3996
154d0ac9
hex386d90

3698064 has 60 divisors (see below), whose sum is σ = 10544092. Its totient is φ = 1209600.

The previous prime is 3698063. The next prime is 3698081. The reversal of 3698064 is 4608963.

It can be written as a sum of positive squares in 2 ways, for example, as 57600 + 3640464 = 240^2 + 1908^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a d-powerful number, because it can be written as 313 + 6 + 94 + 87 + 0 + 6 + 42 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3698063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8574 + ... + 8994.

Almost surely, 23698064 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 3698064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272046).

3698064 is an abundant number, since it is smaller than the sum of its proper divisors (6846028).

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

3698064 is a wasteful number, since it uses less digits than its factorization.

3698064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3698064 is about 1923.0351010837. The cubic root of 3698064 is about 154.6410563356.

The spelling of 3698064 in words is "three million, six hundred ninety-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 421 488 549 732 842 976 1098 1263 1464 1684 2196 2526 2928 3368 3789 4392 5052 6736 7578 8784 10104 15156 20208 25681 30312 51362 60624 77043 102724 154086 205448 231129 308172 410896 462258 616344 924516 1232688 1849032 3698064