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2323134420 = 2235314992503
BaseRepresentation
bin1000101001111000…
…0011011111010100
312222220101110022120
42022132003133110
514224210300140
61022304455540
7111366213435
oct21236033724
95886343276
102323134420
11a92392302
1254a01a5b0
132b03b5169
1418077148c
15d8e411d0
hex8a7837d4

2323134420 has 96 divisors (see below), whose sum is σ = 6730752000. Its totient is φ = 598078080.

The previous prime is 2323134403. The next prime is 2323134433. The reversal of 2323134420 is 244313232.

2323134420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 926889 + ... + 929391.

It is an arithmetic number, because the mean of its divisors is an integer number (70112000).

Almost surely, 22323134420 is an apocalyptic number.

2323134420 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 2323134420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365376000).

2323134420 is an abundant number, since it is smaller than the sum of its proper divisors (4407617580).

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

2323134420 is a wasteful number, since it uses less digits than its factorization.

2323134420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2323134420 is about 48198.9047593407. The cubic root of 2323134420 is about 1324.4171011478.

Adding to 2323134420 its reverse (244313232), we get a palindrome (2567447652).

The spelling of 2323134420 in words is "two billion, three hundred twenty-three million, one hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 499 620 930 998 1497 1860 1996 2495 2503 2994 4990 5006 5988 7485 7509 9980 10012 12515 14970 15018 15469 25030 29940 30036 30938 37545 46407 50060 61876 75090 77345 77593 92814 150180 154690 155186 185628 232035 232779 309380 310372 387965 464070 465558 775930 928140 931116 1163895 1248997 1551860 2327790 2497994 3746991 4655580 4995988 6244985 7493982 12489970 14987964 18734955 24979940 37469910 38718907 74939820 77437814 116156721 154875628 193594535 232313442 387189070 464626884 580783605 774378140 1161567210 2323134420