Search a number
-
+
2430314496 = 2113343951
BaseRepresentation
bin1001000011011011…
…1010100000000000
320021101001202202000
42100312322200000
514434130030441
61041054024000
7114140222001
oct22066724000
96241052660
102430314496
111037938285
12579aa8000
132c9670b1c
14190ab11a8
15e35632b6
hex90dba800

2430314496 has 96 divisors (see below), whose sum is σ = 7199337600. Its totient is φ = 810086400.

The previous prime is 2430314461. The next prime is 2430314501. The reversal of 2430314496 is 6944130342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2430314496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33321 + ... + 77271.

It is an arithmetic number, because the mean of its divisors is an integer number (74993100).

Almost surely, 22430314496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2430314496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599668800).

2430314496 is an abundant number, since it is smaller than the sum of its proper divisors (4769023104).

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

2430314496 is an equidigital number, since it uses as much as digits as its factorization.

2430314496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43982 (or 43956 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2430314496 is about 49298.2200084344. The cubic root of 2430314496 is about 1344.4794208013.

The spelling of 2430314496 in words is "two billion, four hundred thirty million, three hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 6144 6912 9216 13824 18432 27648 43951 55296 87902 131853 175804 263706 351608 395559 527412 703216 791118 1054824 1186677 1406432 1582236 2109648 2373354 2812864 3164472 4219296 4746708 5625728 6328944 8438592 9493416 11251456 12657888 16877184 18986832 22502912 25315776 33754368 37973664 45005824 50631552 67508736 75947328 90011648 101263104 135017472 151894656 202526208 270034944 303789312 405052416 607578624 810104832 1215157248 2430314496