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339829952 = 2671126269
BaseRepresentation
bin10100010000010…
…110010011000000
3212200110011001112
4110100112103000
51143444024302
653415422452
711264335610
oct2420262300
9780404045
10339829952
11164909300
1295984a28
1355535117
14331c0a40
151ec7a552
hex144164c0

339829952 has 84 divisors (see below), whose sum is σ = 847252560. Its totient is φ = 132380160.

The previous prime is 339829943. The next prime is 339829957. The reversal of 339829952 is 259928933.

It is a self number, because there is not a number n which added to its sum of digits gives 339829952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339829957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51074 + ... + 57342.

It is an arithmetic number, because the mean of its divisors is an integer number (10086340).

Almost surely, 2339829952 is an apocalyptic number.

339829952 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 339829952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423626280).

339829952 is an abundant number, since it is smaller than the sum of its proper divisors (507422608).

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

339829952 is a wasteful number, since it uses less digits than its factorization.

339829952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6310 (or 6289 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 50.

The square root of 339829952 is about 18434.4772640832. The cubic root of 339829952 is about 697.8368269080.

It can be divided in two parts, 33982 and 9952, that added together give a palindrome (43934).

The spelling of 339829952 in words is "three hundred thirty-nine million, eight hundred twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 154 176 224 242 308 352 448 484 616 704 847 968 1232 1694 1936 2464 3388 3872 4928 6269 6776 7744 12538 13552 25076 27104 43883 50152 54208 68959 87766 100304 137918 175532 200608 275836 351064 401216 482713 551672 702128 758549 965426 1103344 1404256 1517098 1930852 2206688 2808512 3034196 3861704 4413376 5309843 6068392 7723408 10619686 12136784 15446816 21239372 24273568 30893632 42478744 48547136 84957488 169914976 339829952