Search a number
-
+
2990617344 = 2832111329313
BaseRepresentation
bin1011001001000001…
…0011001100000000
321201102101002202100
42302100103030000
522111044223334
61212431150400
7134052554001
oct26220231400
97642332670
102990617344
1112a5142090
126b5675400
1338877a980
142052831a8
1512783dc99
hexb2413300

2990617344 has 432 divisors, whose sum is σ = 10512946080. Its totient is φ = 805109760.

The previous prime is 2990617327. The next prime is 2990617349. The reversal of 2990617344 is 4437160992.

It is a happy number.

2990617344 is a `hidden beast` number, since 29 + 9 + 0 + 617 + 3 + 4 + 4 = 666.

It is a super-2 number, since 2×29906173442 = 17887584196467228672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2990617344.

It is not an unprimeable number, because it can be changed into a prime (2990617349) 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, 9554532 + ... + 9554844.

Almost surely, 22990617344 is an apocalyptic number.

2990617344 is a gapful number since it is divisible by the number (24) 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 2990617344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256473040).

2990617344 is an abundant number, since it is smaller than the sum of its proper divisors (7522328736).

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

2990617344 is a wasteful number, since it uses less digits than its factorization.

2990617344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2990617344 is about 54686.5371366665. The cubic root of 2990617344 is about 1440.7444299041.

The spelling of 2990617344 in words is "two billion, nine hundred ninety million, six hundred seventeen thousand, three hundred forty-four".