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398728644 = 223231638863
BaseRepresentation
bin10111110001000…
…001110111000100
31000210021111212120
4113301001313010
51304033304034
6103322045540
712611065116
oct2761016704
91023244776
10398728644
11195087806
12b16498b0
13647b7a12
143ad533b6
1525011c49
hex17c41dc4

398728644 has 48 divisors (see below), whose sum is σ = 976883712. Its totient is φ = 126336672.

The previous prime is 398728643. The next prime is 398728657. The reversal of 398728644 is 446827893.

It is not an unprimeable number, because it can be changed into a prime (398728643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40557 + ... + 49419.

It is an arithmetic number, because the mean of its divisors is an integer number (20351744).

Almost surely, 2398728644 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 398728644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488441856).

398728644 is an abundant number, since it is smaller than the sum of its proper divisors (578155068).

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

398728644 is a wasteful number, since it uses less digits than its factorization.

398728644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9056 (or 9054 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 398728644 is about 19968.1908043768. The cubic root of 398728644 is about 736.0248519688.

It can be divided in two parts, 39872 and 8644, that added together give a triangular number (48516 = T311).

The spelling of 398728644 in words is "three hundred ninety-eight million, seven hundred twenty-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 163 276 326 489 652 978 1956 3749 7498 8863 11247 14996 17726 22494 26589 35452 44988 53178 106356 203849 407698 611547 815396 1223094 1444669 2446188 2889338 4334007 5778676 8668014 17336028 33227387 66454774 99682161 132909548 199364322 398728644