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305423232 = 2731097297
BaseRepresentation
bin10010001101000…
…110001110000000
3210021201002220120
4102031012032000
51111142020412
650150140240
710366024512
oct2215061600
9707632816
10305423232
11147448aa4
1286351680
134b37940a
142c7c5bb2
151bc30b8c
hex12346380

305423232 has 64 divisors (see below), whose sum is σ = 818835600. Its totient is φ = 100859904.

The previous prime is 305423231. The next prime is 305423263. The reversal of 305423232 is 232324503.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305423231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38208 + ... + 45504.

Almost surely, 2305423232 is an apocalyptic number.

305423232 is a gapful number since it is divisible by the number (32) 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 305423232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409417800).

305423232 is an abundant number, since it is smaller than the sum of its proper divisors (513412368).

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

305423232 is a wasteful number, since it uses less digits than its factorization.

305423232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7423 (or 7411 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 305423232 is about 17476.3620928384. The cubic root of 305423232 is about 673.4427618989.

Adding to 305423232 its reverse (232324503), we get a palindrome (537747735).

The spelling of 305423232 in words is "three hundred five million, four hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 327 384 436 654 872 1308 1744 2616 3488 5232 6976 7297 10464 13952 14594 20928 21891 29188 41856 43782 58376 87564 116752 175128 233504 350256 467008 700512 795373 934016 1401024 1590746 2386119 2802048 3181492 4772238 6362984 9544476 12725968 19088952 25451936 38177904 50903872 76355808 101807744 152711616 305423232