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1650378240 = 293557379
BaseRepresentation
bin110001001011110…
…1100011000000000
311021000110220100000
41202113230120000
511334444100430
6431433200000
755616661240
oct14227543000
94230426300
101650378240
11777660665
123a0860000
13203bc4394
14119289b20
1599d50e60
hex625ec600

1650378240 has 480 divisors, whose sum is σ = 6792065280. Its totient is φ = 376233984.

The previous prime is 1650378239. The next prime is 1650378251. The reversal of 1650378240 is 428730561.

It is a tau number, because it is divible by the number of its divisors (480).

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 a junction number, because it is equal to n+sod(n) for n = 1650378195 and 1650378204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4354371 + ... + 4354749.

It is an arithmetic number, because the mean of its divisors is an integer number (14150136).

Almost surely, 21650378240 is an apocalyptic number.

1650378240 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 1650378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396032640).

1650378240 is an abundant number, since it is smaller than the sum of its proper divisors (5141687040).

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

1650378240 is an frugal number, since it uses more digits than its factorization.

1650378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1650378240 is about 40624.8475689448. The cubic root of 1650378240 is about 1181.7560371554.

The spelling of 1650378240 in words is "one billion, six hundred fifty million, three hundred seventy-eight thousand, two hundred forty".