Search a number
-
+
1328412744 = 233329316841
BaseRepresentation
bin100111100101101…
…1111100001001000
310102120122100201000
41033023133201020
510210033201434
6335452255000
744630215311
oct11713374110
93376570630
101328412744
1162194417a
12310a71460
131822a5659
14c85d9608
157b953b99
hex4f2df848

1328412744 has 128 divisors (see below), whose sum is σ = 3940992000. Its totient is φ = 413683200.

The previous prime is 1328412727. The next prime is 1328412779. The reversal of 1328412744 is 4472148231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1328412699 and 1328412708.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190764 + ... + 197604.

It is an arithmetic number, because the mean of its divisors is an integer number (30789000).

Almost surely, 21328412744 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 1328412744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970496000).

1328412744 is an abundant number, since it is smaller than the sum of its proper divisors (2612579256).

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

1328412744 is a wasteful number, since it uses less digits than its factorization.

1328412744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6916 (or 6906 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 1328412744 is about 36447.3969440892. The cubic root of 1328412744 is about 1099.2867949808.

The spelling of 1328412744 in words is "one billion, three hundred twenty-eight million, four hundred twelve thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 31 36 54 58 62 72 87 93 108 116 124 174 186 216 232 248 261 279 348 372 522 558 696 744 783 837 899 1044 1116 1566 1674 1798 2088 2232 2697 3132 3348 3596 5394 6264 6696 6841 7192 8091 10788 13682 16182 20523 21576 24273 27364 32364 41046 48546 54728 61569 64728 82092 97092 123138 164184 184707 194184 198389 212071 246276 369414 396778 424142 492552 595167 636213 738828 793556 848284 1190334 1272426 1477656 1587112 1696568 1785501 1908639 2380668 2544852 3571002 3817278 4761336 5089704 5356503 5725917 6150059 7142004 7634556 10713006 11451834 12300118 14284008 15269112 18450177 21426012 22903668 24600236 36900354 42852024 45807336 49200472 55350531 73800708 110701062 147601416 166051593 221402124 332103186 442804248 664206372 1328412744