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2348669952 = 210331719263
BaseRepresentation
bin1000101111111101…
…1101110000000000
320001200102210111000
42023333131300000
514302224414302
61025020052000
7112126236156
oct21377356000
96050383430
102348669952
11aa5843552
12556694000
132b5786045
14183cdb3d6
15db2d731c
hex8bfddc00

2348669952 has 352 divisors, whose sum is σ = 7781875200. Its totient is φ = 695402496.

The previous prime is 2348669941. The next prime is 2348669959. The reversal of 2348669952 is 2599668432.

It is a happy number.

2348669952 is a `hidden beast` number, since 23 + 486 + 6 + 99 + 52 = 666.

2348669952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2348669959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8930173 + ... + 8930435.

It is an arithmetic number, because the mean of its divisors is an integer number (22107600).

Almost surely, 22348669952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2348669952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890937600).

2348669952 is an abundant number, since it is smaller than the sum of its proper divisors (5433205248).

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

2348669952 is a wasteful number, since it uses less digits than its factorization.

2348669952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 304 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 2348669952 is about 48463.0782348790. The cubic root of 2348669952 is about 1329.2520248263.

The spelling of 2348669952 in words is "two billion, three hundred forty-eight million, six hundred sixty-nine thousand, nine hundred fifty-two".