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302013312 = 273898837
BaseRepresentation
bin10010000000000…
…101101110000000
3210001021212101020
4102000011232000
51104303411222
645545105440
710325033166
oct2200055600
9701255336
10302013312
1114552a087
1285188280
134a754303
142c179236
151b7aa65c
hex12005b80

302013312 has 64 divisors (see below), whose sum is σ = 811328400. Its totient is φ = 99528704.

The previous prime is 302013311. The next prime is 302013317. The reversal of 302013312 is 213310203.

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

It is a junction number, because it is equal to n+sod(n) for n = 302013291 and 302013300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302013311) 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, 29758 + ... + 38594.

Almost surely, 2302013312 is an apocalyptic number.

302013312 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 302013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405664200).

302013312 is an abundant number, since it is smaller than the sum of its proper divisors (509315088).

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

302013312 is an equidigital number, since it uses as much as digits as its factorization.

302013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8943 (or 8931 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 302013312 is about 17378.5302025229. The cubic root of 302013312 is about 670.9271429561.

Adding to 302013312 its reverse (213310203), we get a palindrome (515323515).

The spelling of 302013312 in words is "three hundred two million, thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 267 356 384 534 712 1068 1424 2136 2848 4272 5696 8544 8837 11392 17088 17674 26511 34176 35348 53022 70696 106044 141392 212088 282784 424176 565568 786493 848352 1131136 1572986 1696704 2359479 3145972 3393408 4718958 6291944 9437916 12583888 18875832 25167776 37751664 50335552 75503328 100671104 151006656 302013312