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312023304 = 2332172271123
BaseRepresentation
bin10010100110010…
…001100100001000
3210202010102111200
4102212101210020
51114334221204
650543424200
710506103635
oct2246214410
9722112450
10312023304
111501467aa
12885b5060
134c84a598
142d62318c
151c5d6539
hex12991908

312023304 has 96 divisors (see below), whose sum is σ = 899514720. Its totient is φ = 97371648.

The previous prime is 312023303. The next prime is 312023323. The reversal of 312023304 is 403320213.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (312023303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277287 + ... + 278409.

It is an arithmetic number, because the mean of its divisors is an integer number (9369945).

Almost surely, 2312023304 is an apocalyptic number.

312023304 is a gapful number since it is divisible by the number (34) 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 312023304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449757360).

312023304 is an abundant number, since it is smaller than the sum of its proper divisors (587491416).

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

312023304 is a wasteful number, since it uses less digits than its factorization.

312023304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 312023304 is about 17664.1813849383. The cubic root of 312023304 is about 678.2591746763.

Adding to 312023304 its reverse (403320213), we get a palindrome (715343517).

The spelling of 312023304 in words is "three hundred twelve million, twenty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 227 306 408 454 612 681 908 1123 1224 1362 1816 2043 2246 2724 3369 3859 4086 4492 5448 6738 7718 8172 8984 10107 11577 13476 15436 16344 19091 20214 23154 26952 30872 34731 38182 40428 46308 57273 69462 76364 80856 92616 114546 138924 152728 171819 229092 254921 277848 343638 458184 509842 687276 764763 1019684 1374552 1529526 2039368 2294289 3059052 4333657 4588578 6118104 8667314 9177156 13000971 17334628 18354312 26001942 34669256 39002913 52003884 78005826 104007768 156011652 312023304