Search a number
-
+
3362691024 = 2434711311087
BaseRepresentation
bin1100100001101110…
…1001011111010000
322200100111101220000
43020123221133100
523341322103044
61313402050000
7146221254630
oct31033513720
98610441800
103362691024
1114761735a0
1279a1a9900
13417892104
1423c8586c0
1514a337d69
hexc86e97d0

3362691024 has 400 divisors, whose sum is σ = 12537102336. Its totient is φ = 844473600.

The previous prime is 3362691019. The next prime is 3362691029. The reversal of 3362691024 is 4201962633.

3362691024 is a `hidden beast` number, since 3 + 3 + 626 + 9 + 1 + 0 + 24 = 666.

3362691024 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3362691019) and next prime (3362691029).

It is a super-2 number, since 2×33626910242 = 22615381845780337152, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3362691024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3362691029) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3093009 + ... + 3094095.

Almost surely, 23362691024 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 3362691024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6268551168).

3362691024 is an abundant number, since it is smaller than the sum of its proper divisors (9174411312).

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

3362691024 is a wasteful number, since it uses less digits than its factorization.

3362691024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3362691024 is about 57988.7146262098. The cubic root of 3362691024 is about 1498.1742266026.

The spelling of 3362691024 in words is "three billion, three hundred sixty-two million, six hundred ninety-one thousand, twenty-four".