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2304044120 = 2357191632657
BaseRepresentation
bin1000100101010100…
…1110110001011000
312221120110120100102
42021111032301120
514204313402440
61020343354532
7111045023540
oct21125166130
95846416312
102304044120
11a826334a4
12543752a48
132a945cb21
1417c002320
15d741eb15
hex8954ec58

2304044120 has 128 divisors (see below), whose sum is σ = 6277132800. Its totient is φ = 743510016.

The previous prime is 2304044107. The next prime is 2304044129. The reversal of 2304044120 is 214404032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2304044092 and 2304044101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2304044129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 865832 + ... + 868488.

It is an arithmetic number, because the mean of its divisors is an integer number (49040100).

Almost surely, 22304044120 is an apocalyptic number.

2304044120 is a gapful number since it is divisible by the number (20) 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 2304044120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138566400).

2304044120 is an abundant number, since it is smaller than the sum of its proper divisors (3973088680).

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

2304044120 is a wasteful number, since it uses less digits than its factorization.

2304044120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2304044120 is about 48000.4595811332. The cubic root of 2304044120 is about 1320.7793301192.

Adding to 2304044120 its reverse (214404032), we get a palindrome (2518448152).

The spelling of 2304044120 in words is "two billion, three hundred four million, forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 163 190 266 280 326 380 532 652 665 760 815 1064 1141 1304 1330 1630 2282 2657 2660 3097 3260 4564 5314 5320 5705 6194 6520 9128 10628 11410 12388 13285 15485 18599 21256 21679 22820 24776 26570 30970 37198 43358 45640 50483 53140 61940 74396 86716 92995 100966 106280 108395 123880 148792 173432 185990 201932 216790 252415 353381 371980 403864 433091 433580 504830 706762 743960 866182 867160 1009660 1413524 1732364 1766905 2019320 2165455 2827048 3031637 3464728 3533810 4330910 6063274 7067620 8228729 8661820 12126548 14135240 15158185 16457458 17323640 24253096 30316370 32914916 41143645 57601103 60632740 65829832 82287290 115202206 121265480 164574580 230404412 288005515 329149160 460808824 576011030 1152022060 2304044120