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34339950 = 2345261139
BaseRepresentation
bin1000001011111…
…1110001101110
32101121122120000
42002333301232
532242334300
63224005130
7564612321
oct202776156
971548500
1034339950
1118425127
12b6007a6
1371644c8
1447bc7b8
153034c00
hex20bfc6e

34339950 has 120 divisors (see below), whose sum is σ = 97676040. Its totient is φ = 8942400.

The previous prime is 34339933. The next prime is 34339951. The reversal of 34339950 is 5993343.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34339951) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 246981 + ... + 247119.

It is an arithmetic number, because the mean of its divisors is an integer number (813967).

Almost surely, 234339950 is an apocalyptic number.

34339950 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 34339950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48838020).

34339950 is an abundant number, since it is smaller than the sum of its proper divisors (63336090).

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

34339950 is a wasteful number, since it uses less digits than its factorization.

34339950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 34339950 is about 5860.0298634051. The cubic root of 34339950 is about 325.0373132701.

The spelling of 34339950 in words is "thirty-four million, three hundred thirty-nine thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 61 75 81 90 122 135 139 150 162 183 225 270 278 305 366 405 417 450 549 610 675 695 810 834 915 1098 1251 1350 1390 1525 1647 1830 2025 2085 2502 2745 3050 3294 3475 3753 4050 4170 4575 4941 5490 6255 6950 7506 8235 8479 9150 9882 10425 11259 12510 13725 16470 16958 18765 20850 22518 24705 25437 27450 31275 37530 41175 42395 49410 50874 56295 62550 76311 82350 84790 93825 112590 123525 127185 152622 187650 211975 228933 247050 254370 281475 381555 423950 457866 562950 635925 686799 763110 1144665 1271850 1373598 1907775 2289330 3433995 3815550 5723325 6867990 11446650 17169975 34339950