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243073728 = 26323113613
BaseRepresentation
bin11100111110100…
…00001011000000
3121221101102110200
432133100023000
5444211324403
640041525200
76011043522
oct1637201300
9557342420
10243073728
11115232987
12694a3800
133b488c11
14243d5a12
1516516ca3
hexe7d02c0

243073728 has 84 divisors (see below), whose sum is σ = 719254848. Its totient is φ = 78405120.

The previous prime is 243073723. The next prime is 243073739. The reversal of 243073728 is 827370342.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 243073692 and 243073701.

It is not an unprimeable number, because it can be changed into a prime (243073723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11050 + ... + 24662.

Almost surely, 2243073728 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 243073728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359627424).

243073728 is an abundant number, since it is smaller than the sum of its proper divisors (476181120).

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

243073728 is a wasteful number, since it uses less digits than its factorization.

243073728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13662 (or 13649 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 243073728 is about 15590.8219154732. The cubic root of 243073728 is about 624.0882518178.

The spelling of 243073728 in words is "two hundred forty-three million, seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5952 8928 13613 17856 27226 40839 54452 81678 108904 122517 163356 217808 245034 326712 422003 435616 490068 653424 844006 871232 980136 1266009 1306848 1688012 1960272 2532018 2613696 3376024 3798027 3920544 5064036 6752048 7596054 7841088 10128072 13504096 15192108 20256144 27008192 30384216 40512288 60768432 81024576 121536864 243073728