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4342920448 = 28312127139
BaseRepresentation
bin1000000101101101…
…11011010100000000
3102012122222012212111
410002312323110000
532343241423243
61554535505104
7212423133436
oct40266732400
912178865774
104342920448
111929513459
12a12528194
13542999419
142d2adad56
151a641139d
hex102dbb500

4342920448 has 108 divisors (see below), whose sum is σ = 9093020160. Its totient is φ = 2069867520.

The previous prime is 4342920443. The next prime is 4342920499. The reversal of 4342920448 is 8440292434.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4342920448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4342920443) 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 11 ways as a sum of consecutive naturals, for example, 31243963 + ... + 31244101.

Almost surely, 24342920448 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 4342920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546510080).

4342920448 is an abundant number, since it is smaller than the sum of its proper divisors (4750099712).

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

4342920448 is a wasteful number, since it uses less digits than its factorization.

4342920448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The square root of 4342920448 is about 65900.8379916371. The cubic root of 4342920448 is about 1631.5258458507.

The spelling of 4342920448 in words is "four billion, three hundred forty-two million, nine hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 127 128 139 248 254 256 278 496 508 556 961 992 1016 1112 1922 1984 2032 2224 3844 3937 3968 4064 4309 4448 7688 7874 7936 8128 8618 8896 15376 15748 16256 17236 17653 17792 30752 31496 32512 34472 35306 35584 61504 62992 68944 70612 122047 123008 125984 133579 137888 141224 244094 246016 251968 267158 275776 282448 488188 503936 534316 547243 551552 564896 976376 1007872 1068632 1094486 1103104 1129792 1952752 2137264 2188972 2259584 3905504 4274528 4377944 4519168 7811008 8549056 8755888 15622016 16964533 17098112 17511776 31244032 33929066 34196224 35023552 67858132 70047104 135716264 140094208 271432528 542865056 1085730112 2171460224 4342920448