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3384896340 = 2235754114897
BaseRepresentation
bin1100100111000001…
…0110101101010100
322201220021112212010
43021300112231110
523413013140330
61315514024220
7146611100310
oct31160265524
98656245763
103384896340
11148775a7a1
127a5718070
1341c368257
14241798b40
1514c2723b0
hexc9c16b54

3384896340 has 96 divisors (see below), whose sum is σ = 10852418304. Its totient is φ = 772208640.

The previous prime is 3384896323. The next prime is 3384896351. The reversal of 3384896340 is 436984833.

It is a super-2 number, since 2×33848963402 = 22915046465090791200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3384896340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219772 + ... + 234668.

It is an arithmetic number, because the mean of its divisors is an integer number (113046024).

Almost surely, 23384896340 is an apocalyptic number.

3384896340 is a gapful number since it is divisible by the number (30) 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 3384896340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426209152).

3384896340 is an abundant number, since it is smaller than the sum of its proper divisors (7467521964).

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

3384896340 is a wasteful number, since it uses less digits than its factorization.

3384896340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15457 (or 15455 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The square root of 3384896340 is about 58179.8619798982. The cubic root of 3384896340 is about 1501.4646937604.

The spelling of 3384896340 in words is "three billion, three hundred eighty-four million, eight hundred ninety-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 541 1082 1623 2164 2705 3246 3787 5410 6492 7574 8115 10820 11361 14897 15148 16230 18935 22722 29794 32460 37870 44691 45444 56805 59588 74485 75740 89382 104279 113610 148970 178764 208558 223455 227220 297940 312837 417116 446910 521395 625674 893820 1042790 1251348 1564185 2085580 3128370 6256740 8059277 16118554 24177831 32237108 40296385 48355662 56414939 80592770 96711324 112829878 120889155 161185540 169244817 225659756 241778310 282074695 338489634 483556620 564149390 676979268 846224085 1128298780 1692448170 3384896340