Search a number
-
+
243270496 = 2572473301
BaseRepresentation
bin11101000000000…
…00001101100000
3121221202102101101
432200000031200
5444234123441
640050044144
76012523300
oct1640001540
9557672341
10243270496
111153577a7
1269579654
133b527651
1424447600
1516555231
hexe800360

243270496 has 72 divisors (see below), whose sum is σ = 569159136. Its totient is φ = 102009600.

The previous prime is 243270463. The next prime is 243270497. The reversal of 243270496 is 694072342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243270497) 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, 72046 + ... + 75346.

It is an arithmetic number, because the mean of its divisors is an integer number (7904988).

Almost surely, 2243270496 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 243270496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284579568).

243270496 is an abundant number, since it is smaller than the sum of its proper divisors (325888640).

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

243270496 is a wasteful number, since it uses less digits than its factorization.

243270496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 243270496 is about 15597.1310182354. The cubic root of 243270496 is about 624.2566060553.

The spelling of 243270496 in words is "two hundred forty-three million, two hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 49 56 94 98 112 188 196 224 329 376 392 658 752 784 1316 1504 1568 2303 2632 3301 4606 5264 6602 9212 10528 13204 18424 23107 26408 36848 46214 52816 73696 92428 105632 155147 161749 184856 310294 323498 369712 620588 646996 739424 1086029 1241176 1293992 2172058 2482352 2587984 4344116 4964704 5175968 7602203 8688232 15204406 17376464 30408812 34752928 60817624 121635248 243270496