Search a number
-
+
339443712 = 215321151
BaseRepresentation
bin10100001110111…
…000000000000000
3212122201112020100
4110032320000000
51143344144322
653403242400
711261136546
oct2416700000
9778645210
10339443712
111646750a3
1295819400
135542b38a
143311dd96
151ec00dac
hex143b8000

339443712 has 96 divisors (see below), whose sum is σ = 981452160. Its totient is φ = 113049600.

The previous prime is 339443701. The next prime is 339443717. The reversal of 339443712 is 217344933.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339443717) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294337 + ... + 295487.

It is an arithmetic number, because the mean of its divisors is an integer number (10223460).

Almost surely, 2339443712 is an apocalyptic number.

339443712 is a gapful number since it is divisible by the number (32) 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 339443712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490726080).

339443712 is an abundant number, since it is smaller than the sum of its proper divisors (642008448).

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

339443712 is an equidigital number, since it uses as much as digits as its factorization.

339443712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1156 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 339443712 is about 18423.9982631350. The cubic root of 339443712 is about 697.5723469105.

The spelling of 339443712 in words is "three hundred thirty-nine million, four hundred forty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1151 1152 1536 2048 2302 2304 3072 3453 4096 4604 4608 6144 6906 8192 9208 9216 10359 12288 13812 16384 18416 18432 20718 24576 27624 32768 36832 36864 41436 49152 55248 73664 73728 82872 98304 110496 147328 147456 165744 220992 294656 294912 331488 441984 589312 662976 883968 1178624 1325952 1767936 2357248 2651904 3535872 4714496 5303808 7071744 9428992 10607616 14143488 18857984 21215232 28286976 37715968 42430464 56573952 84860928 113147904 169721856 339443712