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3561344130 = 2352967107571
BaseRepresentation
bin1101010001000101…
…1100110010000010
3100012012022000201110
43110101130302002
524243201003010
61345215544150
7154152632331
oct32421346202
910165260643
103561344130
111568316613
1283482b056
13449a97326
1425ada9d18
1515c9c8120
hexd445cc82

3561344130 has 128 divisors (see below), whose sum is σ = 9073658880. Its totient is φ = 893249280.

The previous prime is 3561344117. The next prime is 3561344141. The reversal of 3561344130 is 314431653.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6236745 + ... + 6237315.

It is an arithmetic number, because the mean of its divisors is an integer number (70887960).

Almost surely, 23561344130 is an apocalyptic number.

3561344130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3561344130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536829440).

3561344130 is an abundant number, since it is smaller than the sum of its proper divisors (5512314750).

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

3561344130 is a wasteful number, since it uses less digits than its factorization.

3561344130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784.

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 3561344130 is about 59676.9983326910. The cubic root of 3561344130 is about 1527.1134906036.

Adding to 3561344130 its reverse (314431653), we get a palindrome (3875775783).

The spelling of 3561344130 in words is "three billion, five hundred sixty-one million, three hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 67 87 107 134 145 174 201 214 290 321 335 402 435 535 571 642 670 870 1005 1070 1142 1605 1713 1943 2010 2855 3103 3210 3426 3886 5710 5829 6206 7169 8565 9309 9715 11658 14338 15515 16559 17130 18618 19430 21507 29145 31030 33118 35845 38257 43014 46545 49677 58290 61097 71690 76514 82795 93090 99354 107535 114771 122194 165590 183291 191285 207901 215070 229542 248385 305485 366582 382570 415802 496770 573855 610970 623703 916455 1039505 1109453 1147710 1247406 1771813 1832910 2079010 2218906 3118515 3328359 3543626 4093499 5315439 5547265 6237030 6656718 8186998 8859065 10630878 11094530 12280497 16641795 17718130 20467495 24560994 26577195 33283590 40934990 53154390 61402485 118711471 122804970 237422942 356134413 593557355 712268826 1187114710 1780672065 3561344130