Search a number
-
+
1341716964 = 2237412231747
BaseRepresentation
bin100111111111000…
…1111100111100100
310110111200021122220
41033332033213210
510221434420324
6341045352340
745151256160
oct11776174744
93414607586
101341716964
116294008a5
123154086b0
13184c83183
14ca29dca0
157cbd0b79
hex4ff8f9e4

1341716964 has 96 divisors (see below), whose sum is σ = 3683721216. Its totient is φ = 372107520.

The previous prime is 1341716963. The next prime is 1341717001. The reversal of 1341716964 is 4696171431.

It is a super-2 number, since 2×13417169642 = 3600408822970754592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1341716963) 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, 767139 + ... + 768885.

It is an arithmetic number, because the mean of its divisors is an integer number (38372096).

Almost surely, 21341716964 is an apocalyptic number.

1341716964 is a gapful number since it is divisible by the number (14) 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 1341716964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841860608).

1341716964 is an abundant number, since it is smaller than the sum of its proper divisors (2342004252).

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

1341716964 is a wasteful number, since it uses less digits than its factorization.

1341716964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2023 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 1341716964 is about 36629.4548689985. The cubic root of 1341716964 is about 1102.9444430617.

It can be divided in two parts, 13417 and 16964, that added together give a triangular number (30381 = T246).

The spelling of 1341716964 in words is "one billion, three hundred forty-one million, seven hundred sixteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 223 246 287 446 492 574 669 861 892 1148 1338 1561 1722 1747 2676 3122 3444 3494 4683 5241 6244 6988 9143 9366 10482 12229 18286 18732 20964 24458 27429 36572 36687 48916 54858 64001 71627 73374 109716 128002 143254 146748 192003 214881 256004 286508 384006 389581 429762 501389 768012 779162 859524 1002778 1168743 1504167 1558324 2005556 2337486 2727067 3008334 4674972 5454134 6016668 8181201 10908268 15972821 16362402 31945642 32724804 47918463 63891284 95836926 111809747 191673852 223619494 335429241 447238988 670858482 1341716964