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390235440 = 243573159127
BaseRepresentation
bin10111010000101…
…000010100110000
31000012022000101110
4113100220110300
51244400013230
6102420033320
712445642440
oct2720502460
91005260343
10390235440
11190306731
12aa832840
1362b02c5a
1439b82120
15243d54b0
hex17428530

390235440 has 320 divisors, whose sum is σ = 1462763520. Its totient is φ = 84188160.

The previous prime is 390235423. The next prime is 390235451. The reversal of 390235440 is 44532093.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 390235398 and 390235407.

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 63 ways as a sum of consecutive naturals, for example, 3072657 + ... + 3072783.

It is an arithmetic number, because the mean of its divisors is an integer number (4571136).

Almost surely, 2390235440 is an apocalyptic number.

390235440 is a gapful number since it is divisible by the number (30) 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 390235440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731381760).

390235440 is an abundant number, since it is smaller than the sum of its proper divisors (1072528080).

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

390235440 is a wasteful number, since it uses less digits than its factorization.

390235440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 390235440 is about 19754.3777426676. The cubic root of 390235440 is about 730.7613499200.

The spelling of 390235440 in words is "three hundred ninety million, two hundred thirty-five thousand, four hundred forty".