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2964031380 = 223555910337
BaseRepresentation
bin1011000010101011…
…1000011110010100
321122120100101200000
42300222320132110
522032243001010
61210041251300
7133310564622
oct26052703624
97576311600
102964031380
111291133712
126a8793b30
133830cc92b
14201922512
1512533b7c0
hexb0ab8794

2964031380 has 144 divisors (see below), whose sum is σ = 9482840640. Its totient is φ = 776936448.

The previous prime is 2964031373. The next prime is 2964031423. The reversal of 2964031380 is 831304692.

2964031380 is a `hidden beast` number, since 2 + 9 + 640 + 3 + 1 + 3 + 8 + 0 = 666.

It is a super-3 number, since 3×29640313803 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281572 + ... + 291908.

It is an arithmetic number, because the mean of its divisors is an integer number (65853060).

Almost surely, 22964031380 is an apocalyptic number.

2964031380 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 2964031380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741420320).

2964031380 is an abundant number, since it is smaller than the sum of its proper divisors (6518809260).

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

2964031380 is a wasteful number, since it uses less digits than its factorization.

2964031380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10420 (or 10406 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2964031380 is about 54442.9185477781. The cubic root of 2964031380 is about 1436.4624102128.

The spelling of 2964031380 in words is "two billion, nine hundred sixty-four million, thirty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 81 90 108 118 135 162 177 180 236 243 270 295 324 354 405 486 531 540 590 708 810 885 972 1062 1180 1215 1593 1620 1770 2124 2430 2655 3186 3540 4779 4860 5310 6372 7965 9558 10337 10620 14337 15930 19116 20674 23895 28674 31011 31860 41348 47790 51685 57348 62022 71685 93033 95580 103370 124044 143370 155055 186066 206740 279099 286740 310110 372132 465165 558198 609883 620220 837297 930330 1116396 1219766 1395495 1674594 1829649 1860660 2439532 2511891 2790990 3049415 3349188 3659298 4186485 5023782 5488947 5581980 6098830 7318596 8372970 9148245 10047564 10977894 12197660 12559455 16466841 16745940 18296490 21955788 25118910 27444735 32933682 36592980 49400523 50237820 54889470 65867364 82334205 98801046 109778940 148201569 164668410 197602092 247002615 296403138 329336820 494005230 592806276 741007845 988010460 1482015690 2964031380