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2312034032 = 24731138299
BaseRepresentation
bin1000100111001110…
…1101011011110000
312222010111111110002
42021303231123300
514213340042112
61021230525132
7111202652000
oct21163553360
95863444402
102312034032
11a870a0430
125463667a8
132aacc9799
1417d0c2000
15d7e9c1c2
hex89ced6f0

2312034032 has 80 divisors (see below), whose sum is σ = 5699040000. Its totient is φ = 900768960.

The previous prime is 2312034031. The next prime is 2312034047. The reversal of 2312034032 is 2304302132.

It is a junction number, because it is equal to n+sod(n) for n = 2312033995 and 2312034013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312034031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41219 + ... + 79517.

It is an arithmetic number, because the mean of its divisors is an integer number (71238000).

Almost surely, 22312034032 is an apocalyptic number.

2312034032 is a gapful number since it is divisible by the number (22) 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 2312034032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849520000).

2312034032 is an abundant number, since it is smaller than the sum of its proper divisors (3387005968).

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

2312034032 is a wasteful number, since it uses less digits than its factorization.

2312034032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38339 (or 38319 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2312034032 is about 48083.6150055297. The cubic root of 2312034032 is about 1322.3042916123.

Adding to 2312034032 its reverse (2304302132), we get a palindrome (4616336164).

The spelling of 2312034032 in words is "two billion, three hundred twelve million, thirty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 343 392 539 616 686 784 1078 1232 1372 2156 2744 3773 4312 5488 7546 8624 15092 30184 38299 60368 76598 153196 268093 306392 421289 536186 612784 842578 1072372 1685156 1876651 2144744 2949023 3370312 3753302 4289488 5898046 6740624 7506604 11796092 13136557 15013208 20643161 23592184 26273114 30026416 41286322 47184368 52546228 82572644 105092456 144502127 165145288 210184912 289004254 330290576 578008508 1156017016 2312034032