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3420071424 = 2936721117
BaseRepresentation
bin1100101111011010…
…0010011000000000
322211100110122000000
43023312202120000
524001014241144
61323212000000
7150516061500
oct31366423000
98740418000
103420071424
1114a55a5310
127b5460000
13426732903
14246313a00
151503be769
hexcbda2600

3420071424 has 840 divisors, whose sum is σ = 13766527368. Its totient is φ = 836075520.

The previous prime is 3420071399. The next prime is 3420071429. The reversal of 3420071424 is 4241700243.

3420071424 is a `hidden beast` number, since 34 + 200 + 7 + 1 + 424 = 666.

It is a super-2 number, since 2×34200714242 = 23393777090522775552, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420071429) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 201180664 + ... + 201180680.

Almost surely, 23420071424 is an apocalyptic number.

3420071424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420071424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6883263684).

3420071424 is an abundant number, since it is smaller than the sum of its proper divisors (10346455944).

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

3420071424 is an equidigital number, since it uses as much as digits as its factorization.

3420071424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 3420071424 is about 58481.3767279807. The cubic root of 3420071424 is about 1506.6477428206.

Adding to 3420071424 its reverse (4241700243), we get a palindrome (7661771667).

The spelling of 3420071424 in words is "three billion, four hundred twenty million, seventy-one thousand, four hundred twenty-four".