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307142240 = 25515712227
BaseRepresentation
bin10010010011101…
…001111001100000
3210101221102221112
4102103221321200
51112112022430
650251042452
710416444266
oct2223517140
9711842845
10307142240
11148412569
1286a40428
134b82b992
142cb12436
151be70195
hex124e9e60

307142240 has 48 divisors (see below), whose sum is σ = 730305072. Its totient is φ = 122064384.

The previous prime is 307142191. The next prime is 307142257. The reversal of 307142240 is 42241703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19007 + ... + 31233.

It is an arithmetic number, because the mean of its divisors is an integer number (15214689).

Almost surely, 2307142240 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 307142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365152536).

307142240 is an abundant number, since it is smaller than the sum of its proper divisors (423162832).

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

307142240 is a wasteful number, since it uses less digits than its factorization.

307142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12399 (or 12391 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 307142240 is about 17525.4740306789. The cubic root of 307142240 is about 674.7038408140.

Adding to 307142240 its reverse (42241703), we get a palindrome (349383943).

The spelling of 307142240 in words is "three hundred seven million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 157 160 314 628 785 1256 1570 2512 3140 5024 6280 12227 12560 24454 25120 48908 61135 97816 122270 195632 244540 391264 489080 978160 1919639 1956320 3839278 7678556 9598195 15357112 19196390 30714224 38392780 61428448 76785560 153571120 307142240