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2952345240 = 2333513439479
BaseRepresentation
bin1010111111111001…
…0011011010011000
321121202100200022000
42233332103122120
522021300021430
61204543001000
7133106343345
oct25776233230
97552320260
102952345240
111285581749
126a4899160
1338086a760
1420015d7cc
151242cde60
hexaff93698

2952345240 has 256 divisors, whose sum is σ = 10644480000. Its totient is φ = 723561984.

The previous prime is 2952345211. The next prime is 2952345247. The reversal of 2952345240 is 425432592.

2952345240 is a `hidden beast` number, since 29 + 52 + 345 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2952345195 and 2952345204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2952345247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6163321 + ... + 6163799.

It is an arithmetic number, because the mean of its divisors is an integer number (41580000).

Almost surely, 22952345240 is an apocalyptic number.

2952345240 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 2952345240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322240000).

2952345240 is an abundant number, since it is smaller than the sum of its proper divisors (7692134760).

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

2952345240 is a wasteful number, since it uses less digits than its factorization.

2952345240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2952345240 is about 54335.4878509432. The cubic root of 2952345240 is about 1434.5721006434.

The spelling of 2952345240 in words is "two billion, nine hundred fifty-two million, three hundred forty-five thousand, two hundred forty".