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2342028480 = 2635111311693
BaseRepresentation
bin1000101110011000…
…1000010011000000
320001012221101002120
42023212020103000
514244024402410
61024221444240
7112015625241
oct21346102300
96035841076
102342028480
11aa2017730
12554410680
132b429c08c
1418308ccc8
15da924570
hex8b9884c0

2342028480 has 224 divisors, whose sum is σ = 8178686208. Its totient is φ = 563097600.

The previous prime is 2342028401. The next prime is 2342028529. The reversal of 2342028480 is 848202432.

It is a super-2 number, since 2×23420284802 = 10970194802262220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 1382514 + ... + 1384206.

It is an arithmetic number, because the mean of its divisors is an integer number (36511992).

Almost surely, 22342028480 is an apocalyptic number.

2342028480 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 2342028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4089343104).

2342028480 is an abundant number, since it is smaller than the sum of its proper divisors (5836657728).

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

2342028480 is a wasteful number, since it uses less digits than its factorization.

2342028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 2342028480 is about 48394.5087794060. The cubic root of 2342028480 is about 1327.9979072885.

The spelling of 2342028480 in words is "two billion, three hundred forty-two million, twenty-eight thousand, four hundred eighty".