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2424311424 = 2733701479
BaseRepresentation
bin1001000010000000…
…0000111010000000
320020221202210002000
42100200000322000
514431110431144
61040321224000
7114035210223
oct22040007200
96227683060
102424311424
111034508067
12577a92000
132c834b602
1418dd8b5ba
15e2c79769
hex90800e80

2424311424 has 64 divisors (see below), whose sum is σ = 7155096000. Its totient is φ = 808102656.

The previous prime is 2424311419. The next prime is 2424311429. The reversal of 2424311424 is 4241134242.

It is an interprime number because it is at equal distance from previous prime (2424311419) and next prime (2424311429).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2424311429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347284 + ... + 354195.

It is an arithmetic number, because the mean of its divisors is an integer number (111798375).

Almost surely, 22424311424 is an apocalyptic number.

2424311424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2424311424 is an abundant number, since it is smaller than the sum of its proper divisors (4730784576).

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

2424311424 is an equidigital number, since it uses as much as digits as its factorization.

2424311424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701502 (or 701484 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2424311424 is about 49237.2970825979. The cubic root of 2424311424 is about 1343.3715173786.

Adding to 2424311424 its reverse (4241134242), we get a palindrome (6665445666).

The spelling of 2424311424 in words is "two billion, four hundred twenty-four million, three hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 701479 1402958 2104437 2805916 4208874 5611832 6313311 8417748 11223664 12626622 16835496 18939933 22447328 25253244 33670992 37879866 44894656 50506488 67341984 75759732 89789312 101012976 134683968 151519464 202025952 269367936 303038928 404051904 606077856 808103808 1212155712 2424311424