Search a number
-
+
1023322104 = 233275093989
BaseRepresentation
bin111100111111101…
…010011111111000
32122022120011000200
4330333222133320
54043432301404
6245313202200
734234044240
oct7477523770
92568504020
101023322104
11485703052
12246860360
1313401474c
1499c9cb20
155ec8b839
hex3cfea7f8

1023322104 has 96 divisors (see below), whose sum is σ = 3174444000. Its totient is φ = 291730176.

The previous prime is 1023322093. The next prime is 1023322109. The reversal of 1023322104 is 4012233201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023322109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254542 + ... + 258530.

It is an arithmetic number, because the mean of its divisors is an integer number (33067125).

Almost surely, 21023322104 is an apocalyptic number.

1023322104 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 1023322104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587222000).

1023322104 is an abundant number, since it is smaller than the sum of its proper divisors (2151121896).

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

1023322104 is a wasteful number, since it uses less digits than its factorization.

1023322104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4517 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1023322104 is about 31989.4061214021. The cubic root of 1023322104 is about 1007.7143701289.

Adding to 1023322104 its reverse (4012233201), we get a palindrome (5035555305).

The spelling of 1023322104 in words is "one billion, twenty-three million, three hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 509 1018 1527 2036 3054 3563 3989 4072 4581 6108 7126 7978 9162 10689 11967 12216 14252 15956 18324 21378 23934 27923 28504 31912 32067 35901 36648 42756 47868 55846 64134 71802 83769 85512 95736 111692 128268 143604 167538 223384 251307 256536 287208 335076 502614 670152 1005228 2010456 2030401 4060802 6091203 8121604 12182406 14212807 16243208 18273609 24364812 28425614 36547218 42638421 48729624 56851228 73094436 85276842 113702456 127915263 146188872 170553684 255830526 341107368 511661052 1023322104