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312304104 = 233271374523
BaseRepresentation
bin10010100111010…
…110000111101000
3210202122200200200
4102213112013220
51114422212404
650553432200
710511353410
oct2247260750
9722580620
10312304104
11150318772
128870b660
134c918338
142d697640
151c63e839
hex129d61e8

312304104 has 96 divisors (see below), whose sum is σ = 973926720. Its totient is φ = 88558848.

The previous prime is 312304099. The next prime is 312304123. The reversal of 312304104 is 401403213.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66787 + ... + 71309.

It is an arithmetic number, because the mean of its divisors is an integer number (10145070).

Almost surely, 2312304104 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 312304104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486963360).

312304104 is an abundant number, since it is smaller than the sum of its proper divisors (661622616).

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

312304104 is a wasteful number, since it uses less digits than its factorization.

312304104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4679 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 312304104 is about 17672.1278854585. The cubic root of 312304104 is about 678.4625762279.

Adding to 312304104 its reverse (401403213), we get a palindrome (713707317).

The spelling of 312304104 in words is "three hundred twelve million, three hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 137 168 252 274 411 504 548 822 959 1096 1233 1644 1918 2466 2877 3288 3836 4523 4932 5754 7672 8631 9046 9864 11508 13569 17262 18092 23016 27138 31661 34524 36184 40707 54276 63322 69048 81414 94983 108552 126644 162828 189966 253288 284949 325656 379932 569898 619651 759864 1139796 1239302 1858953 2279592 2478604 3717906 4337557 4957208 5576859 7435812 8675114 11153718 13012671 14871624 17350228 22307436 26025342 34700456 39038013 44614872 52050684 78076026 104101368 156152052 312304104