Search a number
-
+
3360474432 = 263372347257
BaseRepresentation
bin1100100001001100…
…1100010101000000
322200012022210022000
43020103030111000
523340240140212
61313242344000
7146163363360
oct31023142500
98605283260
103360474432
11147499a1a7
127994bb000
13417297213
1423c43c9a0
1514a04b1dc
hexc84cc540

3360474432 has 448 divisors, whose sum is σ = 12078858240. Its totient is φ = 895352832.

The previous prime is 3360474419. The next prime is 3360474433. The reversal of 3360474432 is 2344740633.

3360474432 is a `hidden beast` number, since 3 + 3 + 604 + 7 + 4 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×33604744322 = 22585576816251445248, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3360474433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13075648 + ... + 13075904.

Almost surely, 23360474432 is an apocalyptic number.

3360474432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3360474432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039429120).

3360474432 is an abundant number, since it is smaller than the sum of its proper divisors (8718383808).

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

3360474432 is a wasteful number, since it uses less digits than its factorization.

3360474432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The square root of 3360474432 is about 57969.5992051006. The cubic root of 3360474432 is about 1497.8449693781.

The spelling of 3360474432 in words is "three billion, three hundred sixty million, four hundred seventy-four thousand, four hundred thirty-two".