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302142432 = 2536175101
BaseRepresentation
bin10010000000100…
…101001111100000
3210001112102111110
4102000211033200
51104322024212
645551543320
710326111504
oct2200451740
9701472443
10302142432
11145608099
128522ab40
134a79b007
142c1b0304
151b7d3a3c
hex120253e0

302142432 has 48 divisors (see below), whose sum is σ = 794565072. Its totient is φ = 100531200.

The previous prime is 302142419. The next prime is 302142443. The reversal of 302142432 is 234241203.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 302142399 and 302142408.

It is a congruent number.

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, 56682 + ... + 61782.

It is an arithmetic number, because the mean of its divisors is an integer number (16553439).

Almost surely, 2302142432 is an apocalyptic number.

302142432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

302142432 is an abundant number, since it is smaller than the sum of its proper divisors (492422640).

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

302142432 is a wasteful number, since it uses less digits than its factorization.

302142432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5731 (or 5723 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 302142432 is about 17382.2447342108. The cubic root of 302142432 is about 671.0227433447.

Adding to 302142432 its reverse (234241203), we get a palindrome (536383635).

The spelling of 302142432 in words is "three hundred two million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 617 1234 1851 2468 3702 4936 5101 7404 9872 10202 14808 15303 19744 20404 29616 30606 40808 59232 61212 81616 122424 163232 244848 489696 3147317 6294634 9441951 12589268 18883902 25178536 37767804 50357072 75535608 100714144 151071216 302142432