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339963030 = 232511379281
BaseRepresentation
bin10100010000110…
…110110010010110
3212200200220121100
4110100312302112
51144012304110
653422330530
711265431601
oct2420666226
9780626540
10339963030
1116499a290
1295a29a46
1355580874
1433217338
151eca4bc0
hex14436c96

339963030 has 96 divisors (see below), whose sum is σ = 990426528. Its totient is φ = 80179200.

The previous prime is 339963011. The next prime is 339963037. The reversal of 339963030 is 30369933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339963037) 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 47 ways as a sum of consecutive naturals, for example, 31990 + ... + 41270.

It is an arithmetic number, because the mean of its divisors is an integer number (10316943).

Almost surely, 2339963030 is an apocalyptic number.

339963030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 339963030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495213264).

339963030 is an abundant number, since it is smaller than the sum of its proper divisors (650463498).

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

339963030 is a wasteful number, since it uses less digits than its factorization.

339963030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9342 (or 9339 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 36.

The square root of 339963030 is about 18438.0863974546. The cubic root of 339963030 is about 697.9279063916.

It can be divided in two parts, 339 and 963030, that added together give a palindrome (963369).

The spelling of 339963030 in words is "three hundred thirty-nine million, nine hundred sixty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1665 2035 2442 3330 3663 4070 6105 7326 9281 12210 18315 18562 27843 36630 46405 55686 83529 92810 102091 139215 167058 204182 278430 306273 343397 417645 510455 612546 686794 835290 918819 1020910 1030191 1531365 1716985 1837638 2060382 3062730 3090573 3433970 3777367 4594095 5150955 6181146 7554734 9188190 10301910 11332101 15452865 18886835 22664202 30905730 33996303 37773670 56660505 67992606 113321010 169981515 339963030