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2684431320 = 2335471034621
BaseRepresentation
bin1010000000000001…
…0010101111011000
320221002020020111020
42200000102233120
520444203300240
61122212402440
7123344201244
oct24000225730
96832206436
102684431320
111158322a8a
1262b016420
1333a1c52cc
141b673d424
1510aa0c0d0
hexa0012bd8

2684431320 has 128 divisors (see below), whose sum is σ = 8306288640. Its totient is φ = 693665280.

The previous prime is 2684431319. The next prime is 2684431327. The reversal of 2684431320 is 231344862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2684431327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578610 + ... + 583230.

It is an arithmetic number, because the mean of its divisors is an integer number (64892880).

Almost surely, 22684431320 is an apocalyptic number.

2684431320 is a gapful number since it is divisible by the number (20) 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 2684431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153144320).

2684431320 is an abundant number, since it is smaller than the sum of its proper divisors (5621857320).

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

2684431320 is a wasteful number, since it uses less digits than its factorization.

2684431320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4785 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2684431320 is about 51811.4979517095. The cubic root of 2684431320 is about 1389.7950666595.

The spelling of 2684431320 in words is "two billion, six hundred eighty-four million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 103 120 141 188 206 235 282 309 376 412 470 515 564 618 705 824 940 1030 1128 1236 1410 1545 1880 2060 2472 2820 3090 4120 4621 4841 5640 6180 9242 9682 12360 13863 14523 18484 19364 23105 24205 27726 29046 36968 38728 46210 48410 55452 58092 69315 72615 92420 96820 110904 116184 138630 145230 184840 193640 217187 277260 290460 434374 475963 554520 580920 651561 868748 951926 1085935 1303122 1427889 1737496 1903852 2171870 2379815 2606244 2855778 3257805 3807704 4343740 4759630 5212488 5711556 6515610 7139445 8687480 9519260 11423112 13031220 14278890 19038520 22370261 26062440 28557780 44740522 57115560 67110783 89481044 111851305 134221566 178962088 223702610 268443132 335553915 447405220 536886264 671107830 894810440 1342215660 2684431320