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8342254080 = 293251272851
BaseRepresentation
bin1111100010011110…
…01011001000000000
3210112101102102020100
413301033023020000
5114041104112310
63455443242400
7413504663316
oct76117131000
923471372210
108342254080
1135a0a91a66
121749979400
13a2c416724
14591d1a0b6
1533c5a3ec0
hex1f13cb200

8342254080 has 240 divisors, whose sum is σ = 29129278464. Its totient is φ = 2206310400.

The previous prime is 8342254079. The next prime is 8342254111. The reversal of 8342254080 is 804522438.

8342254080 is a `hidden beast` number, since 8 + 34 + 2 + 2 + 540 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2924655 + ... + 2927505.

Almost surely, 28342254080 is an apocalyptic number.

8342254080 is a gapful number since it is divisible by the number (80) 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 8342254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14564639232).

8342254080 is an abundant number, since it is smaller than the sum of its proper divisors (20787024384).

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

8342254080 is a wasteful number, since it uses less digits than its factorization.

8342254080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 8342254080 is about 91335.9407900307. The cubic root of 8342254080 is about 2028.1238443096.

The spelling of 8342254080 in words is "eight billion, three hundred forty-two million, two hundred fifty-four thousand, eighty".