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2430774424 = 2313193074007
BaseRepresentation
bin1001000011100010…
…1010110010011000
320021101221010122101
42100320222302120
514434234240144
61041111533144
7114144145621
oct22070526230
96241833571
102430774424
111038121891
1257a08a1b4
132c97a2280
14190b90a48
15e36046d4
hex90e2ac98

2430774424 has 64 divisors (see below), whose sum is σ = 5184748800. Its totient is φ = 1059122304.

The previous prime is 2430774419. The next prime is 2430774439. The reversal of 2430774424 is 4244770342.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604629 + ... + 608635.

It is an arithmetic number, because the mean of its divisors is an integer number (81011700).

Almost surely, 22430774424 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 2430774424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592374400).

2430774424 is an abundant number, since it is smaller than the sum of its proper divisors (2753974376).

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

2430774424 is a wasteful number, since it uses less digits than its factorization.

2430774424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4352 (or 4348 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 37.

The square root of 2430774424 is about 49302.8845403593. The cubic root of 2430774424 is about 1344.5642280321.

The spelling of 2430774424 in words is "two billion, four hundred thirty million, seven hundred seventy-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 307 494 614 988 1228 1976 2456 3991 4007 5833 7982 8014 11666 15964 16028 23332 31928 32056 46664 52091 75829 76133 104182 151658 152266 208364 303316 304532 416728 606632 609064 989729 1230149 1979458 2460298 3958916 4920596 7917832 9841192 15991937 23372831 31983874 46745662 63967748 93491324 127935496 186982648 303846803 607693606 1215387212 2430774424