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3440130336 = 2532172924229
BaseRepresentation
bin1100110100001100…
…0011100100100000
322212202012201122200
43031003003210200
524021133132321
61325205533200
7151151424336
oct31503034440
98782181580
103440130336
111505955925
12800114200
1342a936aa6
14248c55b56
15152032d26
hexcd0c3920

3440130336 has 144 divisors (see below), whose sum is σ = 10715959800. Its totient is φ = 1041997824.

The previous prime is 3440130277. The next prime is 3440130349. The reversal of 3440130336 is 6330310443.

It can be written as a sum of positive squares in 4 ways, for example, as 2771390736 + 668739600 = 52644^2 + 25860^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129870 + ... + 154098.

Almost surely, 23440130336 is an apocalyptic number.

3440130336 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 3440130336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5357979900).

3440130336 is an abundant number, since it is smaller than the sum of its proper divisors (7275829464).

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

3440130336 is a wasteful number, since it uses less digits than its factorization.

3440130336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24291 (or 24280 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 3440130336 is about 58652.6242891143. The cubic root of 3440130336 is about 1509.5875276473.

Adding to 3440130336 its reverse (6330310443), we get a palindrome (9770440779).

The spelling of 3440130336 in words is "three billion, four hundred forty million, one hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 29 32 34 36 48 51 58 68 72 87 96 102 116 136 144 153 174 204 232 261 272 288 306 348 408 464 493 522 544 612 696 816 928 986 1044 1224 1392 1479 1632 1972 2088 2448 2784 2958 3944 4176 4437 4896 5916 7888 8352 8874 11832 15776 17748 23664 24229 35496 47328 48458 70992 72687 96916 141984 145374 193832 218061 290748 387664 411893 436122 581496 702641 775328 823786 872244 1162992 1235679 1405282 1647572 1744488 2107923 2325984 2471358 2810564 3295144 3488976 3707037 4215846 4942716 5621128 6323769 6590288 6977952 7414074 8431692 9885432 11242256 11944897 12647538 13180576 14828148 16863384 19770864 22484512 23889794 25295076 29656296 33726768 35834691 39541728 47779588 50590152 59312592 67453536 71669382 95559176 101180304 107504073 118625184 143338764 191118352 202360608 215008146 286677528 382236704 430016292 573355056 860032584 1146710112 1720065168 3440130336