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320402021424 = 24359153173897
BaseRepresentation
bin1001010100110010111…
…00101101110000110000
31010122000100221002201020
410222121130231300300
520222140404141144
6403105103135440
732101601150352
oct4523134556060
91118010832636
10320402021424
11113977651a31
1252119ba4580
13242a18a4c34
14117169970d2
15850388c419
hex4a9972dc30

320402021424 has 80 divisors (see below), whose sum is σ = 842295315840. Its totient is φ = 104920496640.

The previous prime is 320402021419. The next prime is 320402021497. The reversal of 320402021424 is 424120204023.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 320402021394 and 320402021403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4298844 + ... + 4372740.

It is an arithmetic number, because the mean of its divisors is an integer number (10528691448).

Almost surely, 2320402021424 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 320402021424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421147657920).

320402021424 is an abundant number, since it is smaller than the sum of its proper divisors (521893294416).

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

320402021424 is a wasteful number, since it uses less digits than its factorization.

320402021424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75498 (or 75492 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 320402021424 its reverse (424120204023), we get a palindrome (744522225447).

The spelling of 320402021424 in words is "three hundred twenty billion, four hundred two million, twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 1531 2832 3062 4593 6124 9186 12248 18372 24496 36744 73488 73897 90329 147794 180658 221691 270987 295588 361316 443382 541974 591176 722632 886764 1083948 1182352 1445264 1773528 2167896 3547056 4335792 4359923 8719846 13079769 17439692 26159538 34879384 52319076 69758768 104638152 113136307 209276304 226272614 339408921 452545228 678817842 905090456 1357635684 1810180912 2715271368 5430542736 6675042113 13350084226 20025126339 26700168452 40050252678 53400336904 80100505356 106800673808 160201010712 320402021424