Search a number
-
+
801634416 = 243115925733
BaseRepresentation
bin101111110001111…
…111100001110000
32001212102020200120
4233301333201300
53120204300131
6211313450240
725602531402
oct5761774160
92055366616
10801634416
11381557890
121a4570980
13ca105abb
1478672b72
154a59b496
hex2fc7f870

801634416 has 80 divisors (see below), whose sum is σ = 2297531520. Its totient is φ = 238792960.

The previous prime is 801634411. The next prime is 801634447. The reversal of 801634416 is 614436108.

It is a super-2 number, since 2×8016344162 = 1285235473831322112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801634411) 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, 18286 + ... + 44018.

It is an arithmetic number, because the mean of its divisors is an integer number (28719144).

Almost surely, 2801634416 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 801634416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148765760).

801634416 is an abundant number, since it is smaller than the sum of its proper divisors (1495897104).

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

801634416 is a wasteful number, since it uses less digits than its factorization.

801634416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25814 (or 25808 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 801634416 is about 28313.1491713656. The cubic root of 801634416 is about 928.9495272725.

The spelling of 801634416 in words is "eight hundred one million, six hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 59 66 88 118 132 176 177 236 264 354 472 528 649 708 944 1298 1416 1947 2596 2832 3894 5192 7788 10384 15576 25733 31152 51466 77199 102932 154398 205864 283063 308796 411728 566126 617592 849189 1132252 1235184 1518247 1698378 2264504 3036494 3396756 4529008 4554741 6072988 6793512 9109482 12145976 13587024 16700717 18218964 24291952 33401434 36437928 50102151 66802868 72875856 100204302 133605736 200408604 267211472 400817208 801634416