Search a number
-
+
2342434100 = 225276130781
BaseRepresentation
bin1000101110011110…
…1011010100110100
320001020200222111112
42023213223110310
514244130342400
61024234254152
7112022234636
oct21347532464
96036628445
102342434100
11aa2274456
12554587358
132b43b18a6
14183156a56
15da9a4835
hex8b9eb534

2342434100 has 36 divisors (see below), whose sum is σ = 5089926828. Its totient is φ = 935712000.

The previous prime is 2342434093. The next prime is 2342434141. The reversal of 2342434100 is 14342432.

It can be written as a sum of positive squares in 6 ways, for example, as 884110756 + 1458323344 = 29734^2 + 38188^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60710 + ... + 91490.

Almost surely, 22342434100 is an apocalyptic number.

2342434100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2342434100 is an abundant number, since it is smaller than the sum of its proper divisors (2747492728).

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

2342434100 is a wasteful number, since it uses less digits than its factorization.

2342434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31556 (or 31549 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2342434100 is about 48398.6993626895. The cubic root of 2342434100 is about 1328.0745689547.

Adding to 2342434100 its reverse (14342432), we get a palindrome (2356776532).

The spelling of 2342434100 in words is "two billion, three hundred forty-two million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 761 1522 3044 3805 7610 15220 19025 30781 38050 61562 76100 123124 153905 307810 615620 769525 1539050 3078100 23424341 46848682 93697364 117121705 234243410 468486820 585608525 1171217050 2342434100