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3019240656 = 24344156821
BaseRepresentation
bin1011001111110101…
…1111010011010000
321210102020022120000
42303331133103100
522140411200111
61215332450000
7134551056615
oct26375372320
97712208500
103019240656
11130a312213
12703179900
13391690143
14208db450c
1512a0e4c56
hexb3f5f4d0

3019240656 has 100 divisors (see below), whose sum is σ = 8951851524. Its totient is φ = 981849600.

The previous prime is 3019240649. The next prime is 3019240699. The reversal of 3019240656 is 6560429103.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 547560000 + 2471680656 = 23400^2 + 49716^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 3019240656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24726 + ... + 81546.

Almost surely, 23019240656 is an apocalyptic number.

3019240656 is a gapful number since it is divisible by the number (36) 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 3019240656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475925762).

3019240656 is an abundant number, since it is smaller than the sum of its proper divisors (5932610868).

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

3019240656 is a wasteful number, since it uses less digits than its factorization.

3019240656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56882 (or 56867 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3019240656 is about 54947.6173823761. The cubic root of 3019240656 is about 1445.3263162342.

Adding to 3019240656 its reverse (6560429103), we get a palindrome (9579669759).

The spelling of 3019240656 in words is "three billion, nineteen million, two hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 246 324 328 369 432 492 648 656 738 984 1107 1296 1476 1968 2214 2952 3321 4428 5904 6642 8856 13284 17712 26568 53136 56821 113642 170463 227284 340926 454568 511389 681852 909136 1022778 1363704 1534167 2045556 2329661 2727408 3068334 4091112 4602501 4659322 6136668 6988983 8182224 9205002 9318644 12273336 13977966 18410004 18637288 20966949 24546672 27955932 36820008 37274576 41933898 55911864 62900847 73640016 83867796 111823728 125801694 167735592 188702541 251603388 335471184 377405082 503206776 754810164 1006413552 1509620328 3019240656