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4344919056 = 243418312
BaseRepresentation
bin1000000101111101…
…00011010000010000
3102012210201202110000
410002332203100100
532344244402211
61555050410000
7212446126332
oct40276432020
912183652400
104344919056
11192a658aa5
12a13130900
1354321902a
142d309b452
151a66a8656
hex102fa3410

4344919056 has 75 divisors (see below), whose sum is σ = 12582328143. Its totient is φ = 1447515360.

The previous prime is 4344919037. The next prime is 4344919063. The reversal of 4344919056 is 6509194434.

The square root of 4344919056 is 65916.

It is a perfect power (a square), and thus also a powerful number.

It is a super-4 number, since 4×43449190564 (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2372061 + ... + 2373891.

Almost surely, 24344919056 is an apocalyptic number.

4344919056 is the 65916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4344919056

4344919056 is an abundant number, since it is smaller than the sum of its proper divisors (8237409087).

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

4344919056 is an frugal number, since it uses more digits than its factorization.

4344919056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3682 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The cubic root of 4344919056 is about 1631.7760830334.

The spelling of 4344919056 in words is "four billion, three hundred forty-four million, nine hundred nineteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1831 3662 5493 7324 10986 14648 16479 21972 29296 32958 43944 49437 65916 87888 98874 131832 148311 197748 263664 296622 395496 593244 790992 1186488 2372976 3352561 6705122 10057683 13410244 20115366 26820488 30173049 40230732 53640976 60346098 80461464 90519147 120692196 160922928 181038294 241384392 271557441 362076588 482768784 543114882 724153176 1086229764 1448306352 2172459528 4344919056