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2323003400 = 2352157167443
BaseRepresentation
bin1000101001110110…
…0011100000001000
312222220010210120222
42022131203200020
514224142102100
61022302005212
7111365126444
oct21235434010
95886123528
102323003400
11a92302923
12549b76808
132b036a633
14180739824
15d8e17485
hex8a763808

2323003400 has 96 divisors (see below), whose sum is σ = 5480274240. Its totient is φ = 915682560.

The previous prime is 2323003399. The next prime is 2323003411. The reversal of 2323003400 is 43003232.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5243579 + ... + 5244021.

It is an arithmetic number, because the mean of its divisors is an integer number (57086190).

Almost surely, 22323003400 is an apocalyptic number.

2323003400 is a gapful number since it is divisible by the number (20) 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 2323003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740137120).

2323003400 is an abundant number, since it is smaller than the sum of its proper divisors (3157270840).

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

2323003400 is a wasteful number, since it uses less digits than its factorization.

2323003400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 2323003400 is about 48197.5455806621. The cubic root of 2323003400 is about 1324.3922025469.

Adding to 2323003400 its reverse (43003232), we get a palindrome (2366006632).

The spelling of 2323003400 in words is "two billion, three hundred twenty-three million, three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 157 167 200 314 334 443 628 668 785 835 886 1256 1336 1570 1670 1772 2215 3140 3340 3544 3925 4175 4430 6280 6680 7850 8350 8860 11075 15700 16700 17720 22150 26219 31400 33400 44300 52438 69551 73981 88600 104876 131095 139102 147962 209752 262190 278204 295924 347755 369905 524380 556408 591848 655475 695510 739810 1048760 1310950 1391020 1479620 1738775 1849525 2621900 2782040 2959240 3477550 3699050 5243800 6955100 7398100 11615017 13910200 14796200 23230034 46460068 58075085 92920136 116150170 232300340 290375425 464600680 580750850 1161501700 2323003400