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3026234880 = 293251931223
BaseRepresentation
bin1011010001100000…
…1010111000000000
321210220101122211100
42310120022320000
522144204004010
61220142414400
7134664400134
oct26430127000
97726348740
103026234880
11131325a069
12705591400
13392c6b836
14209cb53c4
1512aa272c0
hexb460ae00

3026234880 has 480 divisors, whose sum is σ = 11439267840. Its totient is φ = 736542720.

The previous prime is 3026234879. The next prime is 3026234891. The reversal of 3026234880 is 884326203.

3026234880 is a `hidden beast` number, since 302 + 6 + 2 + 348 + 8 + 0 = 666.

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

It is a super-2 number, since 2×30262348802 = 18316195097857228800, 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 an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13570449 + ... + 13570671.

It is an arithmetic number, because the mean of its divisors is an integer number (23831808).

Almost surely, 23026234880 is an apocalyptic number.

3026234880 is a gapful number since it is divisible by the number (30) 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 3026234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5719633920).

3026234880 is an abundant number, since it is smaller than the sum of its proper divisors (8413032960).

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

3026234880 is a wasteful number, since it uses less digits than its factorization.

3026234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3026234880 is about 55011.2250363505. The cubic root of 3026234880 is about 1446.4415127616.

The spelling of 3026234880 in words is "three billion, twenty-six million, two hundred thirty-four thousand, eight hundred eighty".