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385990920 = 2336573161
BaseRepresentation
bin10111000000011…
…100000100001000
3222220022101000000
4113000130010020
51242303202140
6102145043000
712364603650
oct2700340410
9886271000
10385990920
11188977767
12a9326460
1361c77cc3
1439399360
1523d47a30
hex1701c108

385990920 has 448 divisors, whose sum is σ = 1561328640. Its totient is φ = 83980800.

The previous prime is 385990901. The next prime is 385990939. The reversal of 385990920 is 29099583.

385990920 is a `hidden beast` number, since 38 + 599 + 0 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (385990901) and next prime (385990939).

It is a super-3 number, since 3×3859909203 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6327690 + ... + 6327750.

Almost surely, 2385990920 is an apocalyptic number.

385990920 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 385990920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780664320).

385990920 is an abundant number, since it is smaller than the sum of its proper divisors (1175337720).

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

385990920 is a wasteful number, since it uses less digits than its factorization.

385990920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 385990920 is about 19646.6516231138. The cubic root of 385990920 is about 728.1022327547.

The spelling of 385990920 in words is "three hundred eighty-five million, nine hundred ninety thousand, nine hundred twenty".