Search a number
-
+
2934299520 = 27345232107
BaseRepresentation
bin1010111011100101…
…1101101110000000
321120111101212020000
42232321131232000
522002140041040
61203100120000
7132500064045
oct25671355600
97514355200
102934299520
111276376729
1269a836000
13379bbca09
141db9c31cc
15122917130
hexaee5db80

2934299520 has 480 divisors, whose sum is σ = 11056704120. Its totient is φ = 741464064.

The previous prime is 2934299519. The next prime is 2934299527. The reversal of 2934299520 is 259924392.

2934299520 is a `hidden beast` number, since 2 + 9 + 34 + 2 + 99 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×29342995202 = 17220227346144460800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2934299527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27423307 + ... + 27423413.

Almost surely, 22934299520 is an apocalyptic number.

2934299520 is a gapful number since it is divisible by the number (20) 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 2934299520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5528352060).

2934299520 is an abundant number, since it is smaller than the sum of its proper divisors (8122404600).

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

2934299520 is a wasteful number, since it uses less digits than its factorization.

2934299520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2934299520 is about 54169.1749983328. The cubic root of 2934299520 is about 1431.6432639258.

The spelling of 2934299520 in words is "two billion, nine hundred thirty-four million, two hundred ninety-nine thousand, five hundred twenty".