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684373950 = 232521328999
BaseRepresentation
bin101000110010101…
…011011110111110
31202200202210120100
4220302223132332
52400144431300
6151524301530
722650040221
oct5062533676
91680683510
10684373950
11321347307
121712418a6
13aba2ab00
1466c6b5b8
1540137700
hex28cab7be

684373950 has 108 divisors (see below), whose sum is σ = 1991223000. Its totient is φ = 168442560.

The previous prime is 684373933. The next prime is 684373951. The reversal of 684373950 is 59373486.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 684373896 and 684373905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684373951) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 71551 + ... + 80549.

It is an arithmetic number, because the mean of its divisors is an integer number (18437250).

Almost surely, 2684373950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684373950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995611500).

684373950 is an abundant number, since it is smaller than the sum of its proper divisors (1306849050).

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

684373950 is a wasteful number, since it uses less digits than its factorization.

684373950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9043 (or 9022 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 684373950 is about 26160.5418521865. The cubic root of 684373950 is about 881.2473487169.

The spelling of 684373950 in words is "six hundred eighty-four million, three hundred seventy-three thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 169 195 225 234 325 338 390 450 507 585 650 845 975 1014 1170 1521 1690 1950 2535 2925 3042 4225 5070 5850 7605 8450 8999 12675 15210 17998 25350 26997 38025 44995 53994 76050 80991 89990 116987 134985 161982 224975 233974 269970 350961 404955 449950 584935 674925 701922 809910 1052883 1169870 1349850 1520831 1754805 2024775 2105766 2924675 3041662 3509610 4049550 4562493 5264415 5849350 7604155 8774025 9124986 10528830 13687479 15208310 17548050 22812465 26322075 27374958 38020775 45624930 52644150 68437395 76041550 114062325 136874790 228124650 342186975 684373950