Search a number
-
+
10434312240 = 2435113952391
BaseRepresentation
bin10011011011110111…
…01111100000110000
3222221011222222111220
421231323233200300
5132332140442430
64443215305040
7516400122252
oct115573574060
928834888456
1010434312240
114474996250
12203251b180
13ca3983771
1470dad9cd2
1541109d110
hex26deef830

10434312240 has 80 divisors (see below), whose sum is σ = 35286955776. Its totient is φ = 2529529600.

The previous prime is 10434312211. The next prime is 10434312257. The reversal of 10434312240 is 4221343401.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10434312240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1973556 + ... + 1978835.

Almost surely, 210434312240 is an apocalyptic number.

10434312240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10434312240 is an abundant number, since it is smaller than the sum of its proper divisors (24852643536).

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

10434312240 is a wasteful number, since it uses less digits than its factorization.

10434312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952418 (or 3952412 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10434312240 its reverse (4221343401), we get a palindrome (14655655641).

The spelling of 10434312240 in words is "ten billion, four hundred thirty-four million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 3952391 7904782 11857173 15809564 19761955 23714346 31619128 39523910 43476301 47428692 59285865 63238256 79047820 86952602 94857384 118571730 130428903 158095640 173905204 189714768 217381505 237143460 260857806 316191280 347810408 434763010 474286920 521715612 652144515 695620816 869526020 948573840 1043431224 1304289030 1739052040 2086862448 2608578060 3478104080 5217156120 10434312240