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1876343040 = 2832511131767
BaseRepresentation
bin110111111010110…
…1011100100000000
311211202200002202200
41233311223210000
512320320434130
6510104313200
764332436605
oct15765534400
94752602680
101876343040
11883168330
12444472800
1323b96ca70
1413b2aa6ac
15aead8760
hex6fd6b900

1876343040 has 864 divisors, whose sum is σ = 8196080256. Its totient is φ = 389283840.

The previous prime is 1876343011. The next prime is 1876343083. The reversal of 1876343040 is 403436781.

1876343040 is a `hidden beast` number, since 18 + 7 + 634 + 3 + 0 + 4 + 0 = 666.

1876343040 is digitally balanced in base 4, 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 1876342986 and 1876343004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28005087 + ... + 28005153.

It is an arithmetic number, because the mean of its divisors is an integer number (9486204).

Almost surely, 21876343040 is an apocalyptic number.

1876343040 is a gapful number since it is divisible by the number (10) 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 1876343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4098040128).

1876343040 is an abundant number, since it is smaller than the sum of its proper divisors (6319737216).

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

1876343040 is a wasteful number, since it uses less digits than its factorization.

1876343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1876343040 is about 43316.7755032620. The cubic root of 1876343040 is about 1233.4003865825.

The spelling of 1876343040 in words is "one billion, eight hundred seventy-six million, three hundred forty-three thousand, forty".