Search a number
-
+
1341020928 = 28313177901
BaseRepresentation
bin100111111101110…
…0101101100000000
310110110100220212210
41033323211230000
510221300132203
6341022422120
745142330002
oct11773455400
93413326783
101341020928
11628a75965
12315131940
13184a9b410
14ca15c372
157cae4803
hex4fee5b00

1341020928 has 144 divisors (see below), whose sum is σ = 4070225376. Its totient is φ = 388300800.

The previous prime is 1341020927. The next prime is 1341020951. The reversal of 1341020928 is 8290201431.

It is a junction number, because it is equal to n+sod(n) for n = 1341020895 and 1341020904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341020921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165778 + ... + 173678.

It is an arithmetic number, because the mean of its divisors is an integer number (28265454).

Almost surely, 21341020928 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 1341020928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035112688).

1341020928 is an abundant number, since it is smaller than the sum of its proper divisors (2729204448).

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

1341020928 is a wasteful number, since it uses less digits than its factorization.

1341020928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7950 (or 7936 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1341020928 is about 36619.9525941801. The cubic root of 1341020928 is about 1102.7536870262.

The spelling of 1341020928 in words is "one billion, three hundred forty-one million, twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 256 272 312 384 408 416 442 544 624 663 768 816 832 884 1088 1248 1326 1632 1664 1768 2176 2496 2652 3264 3328 3536 4352 4992 5304 6528 7072 7901 9984 10608 13056 14144 15802 21216 23703 28288 31604 42432 47406 56576 63208 84864 94812 102713 126416 134317 169728 189624 205426 252832 268634 308139 379248 402951 410852 505664 537268 616278 758496 805902 821704 1011328 1074536 1232556 1516992 1611804 1643408 1746121 2022656 2149072 2465112 3033984 3223608 3286816 3492242 4298144 4930224 5238363 6067968 6447216 6573632 6984484 8596288 9860448 10476726 12894432 13147264 13968968 17192576 19720896 20953452 25788864 26294528 27937936 34385152 39441792 41906904 51577728 55875872 78883584 83813808 103155456 111751744 167627616 223503488 335255232 447006976 670510464 1341020928