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243199040 = 2657108571
BaseRepresentation
bin11100111111011…
…10110001000000
3121221121210100212
432133232301000
5444224332130
640044333252
76012105050
oct1637566100
9557553325
10243199040
11115309047
1269544228
133b500c76
1424429560
151653de95
hexe7eec40

243199040 has 56 divisors (see below), whose sum is σ = 661854912. Its totient is φ = 83381760.

The previous prime is 243199027. The next prime is 243199057. The reversal of 243199040 is 40991342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 243198988 and 243199006.

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, 52046 + ... + 56525.

Almost surely, 2243199040 is an apocalyptic number.

243199040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243199040 is an abundant number, since it is smaller than the sum of its proper divisors (418655872).

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

243199040 is a wasteful number, since it uses less digits than its factorization.

243199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108595 (or 108585 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 243199040 is about 15594.8401723134. The cubic root of 243199040 is about 624.1954789712.

The spelling of 243199040 in words is "two hundred forty-three million, one hundred ninety-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 108571 217142 434284 542855 759997 868568 1085710 1519994 1737136 2171420 3039988 3474272 3799985 4342840 6079976 6948544 7599970 8685680 12159952 15199940 17371360 24319904 30399880 34742720 48639808 60799760 121599520 243199040