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3427423744 = 298597793
BaseRepresentation
bin1100110001001010…
…0101011000000000
322211212022011111011
43030102211120000
524004410024434
61324033330304
7150635423023
oct31422453000
98755264434
103427423744
1114a9767208
127b7a06994
134281082b4
142472a91ba
15150d72e64
hexcc4a5600

3427423744 has 40 divisors (see below), whose sum is σ = 6857005320. Its totient is φ = 1711497216.

The previous prime is 3427423711. The next prime is 3427423759. The reversal of 3427423744 is 4473247243.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3427423697 and 3427423706.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 435912 + ... + 443704.

It is an arithmetic number, because the mean of its divisors is an integer number (171425133).

Almost surely, 23427423744 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 3427423744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428502660).

3427423744 is an abundant number, since it is smaller than the sum of its proper divisors (3429581576).

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

3427423744 is an frugal number, since it uses more digits than its factorization.

3427423744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8670 (or 8654 counting only the distinct ones).

The product of its digits is 451584, while the sum is 40.

The square root of 3427423744 is about 58544.2033338912. The cubic root of 3427423744 is about 1507.7266119001.

The spelling of 3427423744 in words is "three billion, four hundred twenty-seven million, four hundred twenty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 859 1718 3436 6872 7793 13744 15586 27488 31172 54976 62344 109952 124688 219904 249376 439808 498752 997504 1995008 3990016 6694187 13388374 26776748 53553496 107106992 214213984 428427968 856855936 1713711872 3427423744