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2313434020 = 2254119114771
BaseRepresentation
bin1000100111100100…
…0011001110100100
312222020010121212111
42021321003032210
514214214342040
61021320530404
7111220602412
oct21171031644
95866117774
102313434020
11a87967247
12546920a04
132ab399a91
1417d3682b2
15d8176dea
hex89e433a4

2313434020 has 48 divisors (see below), whose sum is σ = 5003099136. Its totient is φ = 898016000.

The previous prime is 2313434009. The next prime is 2313434033. The reversal of 2313434020 is 204343132.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2313433982 and 2313434000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149235 + ... + 164005.

It is an arithmetic number, because the mean of its divisors is an integer number (104231232).

Almost surely, 22313434020 is an apocalyptic number.

2313434020 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 2313434020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501549568).

2313434020 is an abundant number, since it is smaller than the sum of its proper divisors (2689665116).

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

2313434020 is a wasteful number, since it uses less digits than its factorization.

2313434020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15012 (or 15010 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2313434020 is about 48098.1706512836. The cubic root of 2313434020 is about 1322.5711326407.

Adding to 2313434020 its reverse (204343132), we get a palindrome (2517777152).

The spelling of 2313434020 in words is "two billion, three hundred thirteen million, four hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 191 205 382 410 764 820 955 1910 3820 7831 14771 15662 29542 31324 39155 59084 73855 78310 147710 156620 295420 605611 1211222 2422444 2821261 3028055 5642522 6056110 11285044 12112220 14106305 28212610 56425220 115671701 231343402 462686804 578358505 1156717010 2313434020