Search a number
-
+
1338941968 = 247135317351
BaseRepresentation
bin100111111001110…
…1010001000010000
310110022110022002021
41033303222020100
510220232120333
6340510101224
745115550620
oct11763521020
93408408067
101338941968
11627885a11
123144aa814
13184521070
14c9b7a880
157c83382d
hex4fcea210

1338941968 has 80 divisors (see below), whose sum is σ = 3253291776. Its totient is φ = 519667200.

The previous prime is 1338941959. The next prime is 1338941971. The reversal of 1338941968 is 8691498331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 68493 + ... + 85843.

Almost surely, 21338941968 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 1338941968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626645888).

1338941968 is an abundant number, since it is smaller than the sum of its proper divisors (1914349808).

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

1338941968 is a wasteful number, since it uses less digits than its factorization.

1338941968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17432 (or 17426 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 52.

The square root of 1338941968 is about 36591.5559658236. Note that the first 3 decimals coincide. The cubic root of 1338941968 is about 1102.1835327271.

The spelling of 1338941968 in words is "one billion, three hundred thirty-eight million, nine hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 53 56 91 104 106 112 182 208 212 364 371 424 689 728 742 848 1378 1456 1484 2756 2968 4823 5512 5936 9646 11024 17351 19292 34702 38584 69404 77168 121457 138808 225563 242914 277616 451126 485828 902252 919603 971656 1578941 1804504 1839206 1943312 3157882 3609008 3678412 6315764 6437221 7356824 11954839 12631528 12874442 14713648 23909678 25263056 25748884 47819356 51497768 83683873 95638712 102995536 167367746 191277424 334735492 669470984 1338941968