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385903104 = 293277907
BaseRepresentation
bin10111000000000…
…110101000000000
3222220010220112120
4113000012220000
51242242344404
6102143124240
712364056636
oct2700065000
9886126476
10385903104
11188917794
12a92a3680
1361c47042
1439375356
1523d2b9d9
hex17006a00

385903104 has 80 divisors (see below), whose sum is σ = 1032919008. Its totient is φ = 128028672.

The previous prime is 385903093. The next prime is 385903117. The reversal of 385903104 is 401309583.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 425019 + ... + 425925.

Almost surely, 2385903104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385903104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516459504).

385903104 is an abundant number, since it is smaller than the sum of its proper divisors (647015904).

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

385903104 is an equidigital number, since it uses as much as digits as its factorization.

385903104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 385903104 is about 19644.4166113428. The cubic root of 385903104 is about 728.0470122198.

The spelling of 385903104 in words is "three hundred eighty-five million, nine hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 277 384 512 554 768 831 907 1108 1536 1662 1814 2216 2721 3324 3628 4432 5442 6648 7256 8864 10884 13296 14512 17728 21768 26592 29024 35456 43536 53184 58048 70912 87072 106368 116096 141824 174144 212736 232192 251239 348288 425472 464384 502478 696576 753717 1004956 1393152 1507434 2009912 3014868 4019824 6029736 8039648 12059472 16079296 24118944 32158592 48237888 64317184 96475776 128634368 192951552 385903104