Search a number
-
+
3664480 = 25537619
BaseRepresentation
bin1101111110101001100000
320220011201111
431332221200
51414230410
6210313104
743101421
oct15765140
96804644
103664480
1120831a6
121288794
139b3c41
146b5648
154c5b8a
hex37ea60

3664480 has 48 divisors (see below), whose sum is σ = 8905680. Its totient is φ = 1423872.

The previous prime is 3664447. The next prime is 3664483. The reversal of 3664480 is 844663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3664483) 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, 5611 + ... + 6229.

It is an arithmetic number, because the mean of its divisors is an integer number (185535).

Almost surely, 23664480 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 3664480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452840).

3664480 is an abundant number, since it is smaller than the sum of its proper divisors (5241200).

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

3664480 is a wasteful number, since it uses less digits than its factorization.

3664480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 3664480 is about 1914.2831556486. The cubic root of 3664480 is about 154.1715073555.

It can be divided in two parts, 36 and 64480, that added together give a square (64516 = 2542).

The spelling of 3664480 in words is "three million, six hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 619 740 1184 1238 1480 2476 2960 3095 4952 5920 6190 9904 12380 19808 22903 24760 45806 49520 91612 99040 114515 183224 229030 366448 458060 732896 916120 1832240 3664480