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4104312324 = 22372113223277
BaseRepresentation
bin1111010010100010…
…1101011000000100
3101121000222200001120
43310220231120010
531401200443244
61515133353540
7203465036100
oct36450553004
911530880046
104104312324
111816860662
129666388b0
13505414c98
142ad148900
151904cc819
hexf4a2d604

4104312324 has 144 divisors (see below), whose sum is σ = 11330016768. Its totient is φ = 1152893952.

The previous prime is 4104312299. The next prime is 4104312337. The reversal of 4104312324 is 4232134014.

It is a junction number, because it is equal to n+sod(n) for n = 4104312294 and 4104312303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14816874 + ... + 14817150.

It is an arithmetic number, because the mean of its divisors is an integer number (78680672).

Almost surely, 24104312324 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 4104312324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5665008384).

4104312324 is an abundant number, since it is smaller than the sum of its proper divisors (7225704444).

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

4104312324 is a wasteful number, since it uses less digits than its factorization.

4104312324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4104312324 is about 64064.9071177037. The cubic root of 4104312324 is about 1601.0816025244.

Adding to 4104312324 its reverse (4232134014), we get a palindrome (8336446338).

The spelling of 4104312324 in words is "four billion, one hundred four million, three hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 113 147 196 223 226 277 294 339 446 452 554 588 669 678 791 831 892 1108 1338 1356 1561 1582 1662 1939 2373 2676 3122 3164 3324 3878 4683 4746 5537 5817 6244 7756 9366 9492 10927 11074 11634 13573 16611 18732 21854 22148 23268 25199 27146 31301 32781 33222 40719 43708 50398 54292 61771 62602 65562 66444 75597 81438 93903 100796 123542 125204 131124 151194 162876 176393 185313 187806 219107 247084 302388 352786 370626 375612 432397 438214 529179 657321 705572 741252 864794 876428 1058358 1234751 1297191 1314642 1533749 1729588 2116716 2469502 2594382 2629284 3026779 3067498 3704253 4601247 4939004 5188764 6053558 6134996 6980123 7408506 9080337 9202494 12107116 13960246 14817012 18160674 18404988 20940369 27920492 36321348 41880738 48860861 83761476 97721722 146582583 195443444 293165166 342026027 586330332 684052054 1026078081 1368104108 2052156162 4104312324