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339948 = 223271971
BaseRepresentation
bin1010010111111101100
3122021022200
41102333230
541334243
611141500
72614050
oct1227754
9567280
10339948
11212454
12144890
13bb96b
148bc60
156aad3
hex52fec

339948 has 72 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 90720.

The previous prime is 339943. The next prime is 339959. The reversal of 339948 is 849933.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 339948.

It is not an unprimeable number, because it can be changed into a prime (339943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4753 + ... + 4823.

It is an arithmetic number, because the mean of its divisors is an integer number (14560).

2339948 is an apocalyptic number.

339948 is a gapful number since it is divisible by the number (38) 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 339948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524160).

339948 is an abundant number, since it is smaller than the sum of its proper divisors (708372).

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

339948 is a wasteful number, since it uses less digits than its factorization.

339948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 102 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 339948 is about 583.0505981474. The cubic root of 339948 is about 69.7917620949.

The spelling of 339948 in words is "three hundred thirty-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 71 76 84 114 126 133 142 171 213 228 252 266 284 342 399 426 497 532 639 684 798 852 994 1197 1278 1349 1491 1596 1988 2394 2556 2698 2982 4047 4473 4788 5396 5964 8094 8946 9443 12141 16188 17892 18886 24282 28329 37772 48564 56658 84987 113316 169974 339948