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3024922140 = 22325291573691
BaseRepresentation
bin1011010001001100…
…1010011000011100
321210210220222002100
42310103022120130
522143340002030
61220054325100
7134650261662
oct26423123034
97723828070
103024922140
111312542859
12705059790
133928cc176
14209a52c32
1512a868360
hexb44ca61c

3024922140 has 144 divisors (see below), whose sum is σ = 9555043680. Its totient is φ = 773660160.

The previous prime is 3024922139. The next prime is 3024922141. The reversal of 3024922140 is 412294203.

3024922140 is a `hidden beast` number, since 30 + 2 + 492 + 2 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (3024922139) and next prime (3024922141).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3024922141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 817695 + ... + 821385.

It is an arithmetic number, because the mean of its divisors is an integer number (66354470).

Almost surely, 23024922140 is an apocalyptic number.

3024922140 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 3024922140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777521840).

3024922140 is an abundant number, since it is smaller than the sum of its proper divisors (6530121540).

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

3024922140 is a wasteful number, since it uses less digits than its factorization.

3024922140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3024922140 is about 54999.2921772635. The cubic root of 3024922140 is about 1446.2323335525.

The spelling of 3024922140 in words is "three billion, twenty-four million, nine hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 157 174 180 261 290 314 348 435 471 522 580 628 785 870 942 1044 1305 1413 1570 1740 1884 2355 2610 2826 3140 3691 4553 4710 5220 5652 7065 7382 9106 9420 11073 13659 14130 14764 18212 18455 22146 22765 27318 28260 33219 36910 40977 44292 45530 54636 55365 66438 68295 73820 81954 91060 107039 110730 132876 136590 163908 166095 204885 214078 221460 273180 321117 332190 409770 428156 535195 579487 642234 664380 819540 963351 1070390 1158974 1284468 1605585 1738461 1926702 2140780 2317948 2897435 3211170 3476922 3853404 4816755 5215383 5794870 6422340 6953844 8692305 9633510 10430766 11589740 16805123 17384610 19267020 20861532 26076915 33610246 34769220 50415369 52153830 67220492 84025615 100830738 104307660 151246107 168051230 201661476 252076845 302492214 336102460 504153690 604984428 756230535 1008307380 1512461070 3024922140