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2342421020 = 2254183127271
BaseRepresentation
bin1000101110011110…
…1000001000011100
320001020200022120002
42023213220020130
514244124433040
61024234113432
7112022151542
oct21347501034
96036608502
102342421020
11aa2265645
1255457b878
132b43a8954
14183151d92
15da9a0a15
hex8b9e821c

2342421020 has 96 divisors (see below), whose sum is σ = 5158895616. Its totient is φ = 892684800.

The previous prime is 2342421017. The next prime is 2342421073. The reversal of 2342421020 is 201242432.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2342420983 and 2342421001.

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, 8643485 + ... + 8643755.

It is an arithmetic number, because the mean of its divisors is an integer number (53738496).

Almost surely, 22342421020 is an apocalyptic number.

2342421020 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 2342421020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579447808).

2342421020 is an abundant number, since it is smaller than the sum of its proper divisors (2816474596).

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

2342421020 is a wasteful number, since it uses less digits than its factorization.

2342421020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2342421020 is about 48398.5642349027. The cubic root of 2342421020 is about 1328.0720969894.

Adding to 2342421020 its reverse (201242432), we get a palindrome (2543663452).

It can be divided in two parts, 23424 and 21020, that added together give a palindrome (44444).

The spelling of 2342421020 in words is "two billion, three hundred forty-two million, four hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 83 127 164 166 205 254 271 332 410 415 508 542 635 820 830 1084 1270 1355 1660 2540 2710 3403 5207 5420 6806 10414 10541 11111 13612 17015 20828 21082 22222 22493 26035 34030 34417 42164 44444 44986 52070 52705 55555 68060 68834 89972 104140 105410 111110 112465 137668 172085 210820 222220 224930 344170 432181 449860 688340 864362 922213 1411097 1728724 1844426 2160905 2822194 2856611 3688852 4321810 4611065 5644388 5713222 7055485 8643620 9222130 11426444 14110970 14283055 18444260 28221940 28566110 57132220 117121051 234242102 468484204 585605255 1171210510 2342421020