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2431930320 = 2432514922669
BaseRepresentation
bin1001000011110100…
…0100111111010000
320021111002212020100
42100331010333100
514440033232240
61041152412400
7114160031601
oct22075047720
96244085210
102431930320
111038841276
1257a547100
132c9ab8431
14190db1da8
15e3781e30
hex90f44fd0

2431930320 has 120 divisors (see below), whose sum is σ = 8222409000. Its totient is φ = 644133888.

The previous prime is 2431930309. The next prime is 2431930321. The reversal of 2431930320 is 230391342.

It is a happy number.

2431930320 is a `hidden beast` number, since 24 + 319 + 3 + 0 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 386358336 + 2045571984 = 19656^2 + 45228^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431930321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95946 + ... + 118614.

It is an arithmetic number, because the mean of its divisors is an integer number (68520075).

Almost surely, 22431930320 is an apocalyptic number.

2431930320 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 2431930320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111204500).

2431930320 is an abundant number, since it is smaller than the sum of its proper divisors (5790478680).

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

2431930320 is a wasteful number, since it uses less digits than its factorization.

2431930320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22837 (or 22828 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 2431930320 is about 49314.6055444024. The cubic root of 2431930320 is about 1344.7773192610. Note that the first 3 decimals are identical.

The spelling of 2431930320 in words is "two billion, four hundred thirty-one million, nine hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 149 180 240 298 360 447 596 720 745 894 1192 1341 1490 1788 2235 2384 2682 2980 3576 4470 5364 5960 6705 7152 8940 10728 11920 13410 17880 21456 22669 26820 35760 45338 53640 68007 90676 107280 113345 136014 181352 204021 226690 272028 340035 362704 408042 453380 544056 680070 816084 906760 1020105 1088112 1360140 1632168 1813520 2040210 2720280 3264336 3377681 4080420 5440560 6755362 8160840 10133043 13510724 16321680 16888405 20266086 27021448 30399129 33776810 40532172 50665215 54042896 60798258 67553620 81064344 101330430 121596516 135107240 151995645 162128688 202660860 243193032 270214480 303991290 405321720 486386064 607982580 810643440 1215965160 2431930320