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394938900 = 2232521783311
BaseRepresentation
bin10111100010100…
…100101000010100
31000112010222022200
4113202210220110
51302101021100
6103104524500
712533632236
oct2742445024
91015128280
10394938900
11192a29494
12b0320730
1363a8ba75
143a648256
1524a13e00
hex178a4a14

394938900 has 216 divisors, whose sum is σ = 1330789824. Its totient is φ = 97612800.

The previous prime is 394938899. The next prime is 394939007. The reversal of 394938900 is 9839493.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1269745 + ... + 1270055.

It is an arithmetic number, because the mean of its divisors is an integer number (6161064).

Almost surely, 2394938900 is an apocalyptic number.

394938900 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 394938900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665394912).

394938900 is an abundant number, since it is smaller than the sum of its proper divisors (935850924).

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

394938900 is a wasteful number, since it uses less digits than its factorization.

394938900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 394938900 is about 19873.0697175852. The cubic root of 394938900 is about 733.6855585285.

It can be divided in two parts, 3949 and 38900, that added together give a square (42849 = 2072).

The spelling of 394938900 in words is "three hundred ninety-four million, nine hundred thirty-eight thousand, nine hundred".