Search a number
-
+
2342520100 = 22521723181331
BaseRepresentation
bin1000101110100000…
…0000010100100100
320001020212100110201
42023220000110210
514244141120400
61024240200244
7112023043444
oct21350002444
96036770421
102342520100
11aa2323028
12554609084
132b4411a8b
1418317a124
15da9c006a
hex8ba00524

2342520100 has 144 divisors (see below), whose sum is σ = 5664387456. Its totient is φ = 836352000.

The previous prime is 2342520079. The next prime is 2342520143. The reversal of 2342520100 is 10252432.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7076935 + ... + 7077265.

It is an arithmetic number, because the mean of its divisors is an integer number (39336024).

Almost surely, 22342520100 is an apocalyptic number.

2342520100 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 2342520100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832193728).

2342520100 is an abundant number, since it is smaller than the sum of its proper divisors (3321867356).

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

2342520100 is a wasteful number, since it uses less digits than its factorization.

2342520100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2342520100 is about 48399.5878081622. The cubic root of 2342520100 is about 1328.0908217087.

Adding to 2342520100 its reverse (10252432), we get a palindrome (2352772532).

The spelling of 2342520100 in words is "two billion, three hundred forty-two million, five hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 23 25 34 46 50 68 85 92 100 115 170 181 230 331 340 362 391 425 460 575 662 724 782 850 905 1150 1324 1564 1655 1700 1810 1955 2300 3077 3310 3620 3910 4163 4525 5627 6154 6620 7613 7820 8275 8326 9050 9775 11254 12308 15226 15385 16550 16652 18100 19550 20815 22508 28135 30452 30770 33100 38065 39100 41630 56270 59911 61540 70771 76130 76925 83260 104075 112540 119822 129421 140675 141542 152260 153850 190325 208150 239644 258842 281350 283084 299555 307700 353855 380650 416300 517684 562700 599110 647105 707710 761300 1018487 1198220 1294210 1377953 1415420 1497775 1769275 2036974 2588420 2755906 2995550 3235525 3538550 4073948 5092435 5511812 5991100 6471050 6889765 7077100 10184870 12942100 13779530 20369740 23425201 25462175 27559060 34448825 46850402 50924350 68897650 93700804 101848700 117126005 137795300 234252010 468504020 585630025 1171260050 2342520100