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2320342000 = 245311310267
BaseRepresentation
bin1000101001001101…
…1001101111110000
312222201010120211121
42022103121233300
514223001421000
61022124552024
7111333403324
oct21223315760
95881116747
102320342000
11a90855319
125490b2614
132ac948142
14180245984
15d8a8db1a
hex8a4d9bf0

2320342000 has 80 divisors (see below), whose sum is σ = 5660789472. Its totient is φ = 919833600.

The previous prime is 2320341949. The next prime is 2320342009. The reversal of 2320342000 is 2430232.

2320342000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320342009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220867 + ... + 231133.

Almost surely, 22320342000 is an apocalyptic number.

2320342000 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 2320342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830394736).

2320342000 is an abundant number, since it is smaller than the sum of its proper divisors (3340447472).

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

2320342000 is a wasteful number, since it uses less digits than its factorization.

2320342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10403 (or 10387 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2320342000 is about 48169.9283786057. The cubic root of 2320342000 is about 1323.8862362434.

Adding to 2320342000 its reverse (2430232), we get a palindrome (2322772232).

The spelling of 2320342000 in words is "two billion, three hundred twenty million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 125 200 226 250 400 452 500 565 904 1000 1130 1808 2000 2260 2825 4520 5650 9040 10267 11300 14125 20534 22600 28250 41068 45200 51335 56500 82136 102670 113000 164272 205340 226000 256675 410680 513350 821360 1026700 1160171 1283375 2053400 2320342 2566750 4106800 4640684 5133500 5800855 9281368 10267000 11601710 18562736 20534000 23203420 29004275 46406840 58008550 92813680 116017100 145021375 232034200 290042750 464068400 580085500 1160171000 2320342000