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2312414104 = 2371113417043
BaseRepresentation
bin1000100111010100…
…1010001110011000
312222011012210210211
42021311022032120
514213434222404
61021243020504
7111206124040
oct21165121630
95864183724
102312414104
11a8732aa40
1254650a734
132ab100790
1417d180720
15d8024b04
hex89d4a398

2312414104 has 128 divisors (see below), whose sum is σ = 5964295680. Its totient is φ = 811238400.

The previous prime is 2312414101. The next prime is 2312414119. The reversal of 2312414104 is 4014142132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312414101) 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, 324807 + ... + 331849.

It is an arithmetic number, because the mean of its divisors is an integer number (46596060).

Almost surely, 22312414104 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 2312414104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982147840).

2312414104 is an abundant number, since it is smaller than the sum of its proper divisors (3651881576).

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

2312414104 is a wasteful number, since it uses less digits than its factorization.

2312414104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7121 (or 7117 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2312414104 is about 48087.5670418041. The cubic root of 2312414104 is about 1322.3767448855.

Adding to 2312414104 its reverse (4014142132), we get a palindrome (6326556236).

The spelling of 2312414104 in words is "two billion, three hundred twelve million, four hundred fourteen thousand, one hundred four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 41 44 52 56 77 82 88 91 104 143 154 164 182 286 287 308 328 364 451 533 572 574 616 728 902 1001 1066 1144 1148 1804 2002 2132 2296 3157 3608 3731 4004 4264 5863 6314 7043 7462 8008 11726 12628 14086 14924 23452 25256 28172 29848 41041 46904 49301 56344 77473 82082 91559 98602 154946 164164 183118 197204 288763 309892 328328 366236 394408 542311 577526 619784 640913 732472 1007149 1084622 1155052 1281826 2014298 2021341 2169244 2310104 2563652 3176393 3753919 4028596 4042682 4338488 5127304 6352786 7050043 7507838 8057192 8085364 12705572 14100086 15015676 16170728 22234751 25411144 26277433 28200172 30031352 41293109 44469502 52554866 56400344 82586218 88939004 105109732 165172436 177878008 210219464 289051763 330344872 578103526 1156207052 2312414104