Search a number
-
+
3342607488 = 2732113167127
BaseRepresentation
bin1100011100111100…
…0010010010000000
322121221201001110100
43013033002102000
523321201414423
61311403402400
7145555460223
oct30717022200
98557631410
103342607488
1114658a6530
12793523400
1341367c96c
14239d0b5ba
151486bc343
hexc73c2480

3342607488 has 384 divisors, whose sum is σ = 11079843840. Its totient is φ = 958003200.

The previous prime is 3342607481. The next prime is 3342607531. The reversal of 3342607488 is 8847062433.

3342607488 is a `hidden beast` number, since 3 + 34 + 2 + 607 + 4 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×33426074882 = 22346049637667340288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342607481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26319681 + ... + 26319807.

It is an arithmetic number, because the mean of its divisors is an integer number (28853760).

Almost surely, 23342607488 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 3342607488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5539921920).

3342607488 is an abundant number, since it is smaller than the sum of its proper divisors (7737236352).

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

3342607488 is a wasteful number, since it uses less digits than its factorization.

3342607488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3342607488 is about 57815.2876668447. The cubic root of 3342607488 is about 1495.1856740415.

The spelling of 3342607488 in words is "three billion, three hundred forty-two million, six hundred seven thousand, four hundred eighty-eight".