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3620041404 = 2237217536833
BaseRepresentation
bin1101011111000101…
…0111001010111100
3100100021202011020120
43113301113022330
524403212311104
61355114014540
7155464562400
oct32761271274
910307664216
103620041404
111598467761
12850417450
13458ca9345
14264ac9100
15162c1ecd9
hexd7c572bc

3620041404 has 144 divisors (see below), whose sum is σ = 10601666208. Its totient is φ = 954949632.

The previous prime is 3620041361. The next prime is 3620041427. The reversal of 3620041404 is 4041400263.

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 47 ways as a sum of consecutive naturals, for example, 526372 + ... + 533204.

It is an arithmetic number, because the mean of its divisors is an integer number (73622682).

Almost surely, 23620041404 is an apocalyptic number.

3620041404 is a gapful number since it is divisible by the number (34) 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 3620041404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5300833104).

3620041404 is an abundant number, since it is smaller than the sum of its proper divisors (6981624804).

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

3620041404 is a wasteful number, since it uses less digits than its factorization.

3620041404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6924 (or 6915 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3620041404 is about 60166.7799038639. The cubic root of 3620041404 is about 1535.4576620606.

Adding to 3620041404 its reverse (4041400263), we get a palindrome (7661441667).

The spelling of 3620041404 in words is "three billion, six hundred twenty million, forty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 53 68 84 98 102 106 119 147 159 196 204 212 238 294 318 357 371 476 588 636 714 742 833 901 1113 1428 1484 1666 1802 2226 2499 2597 2703 3332 3604 4452 4998 5194 5406 6307 6833 7791 9996 10388 10812 12614 13666 15582 18921 20499 25228 27332 31164 37842 40998 44149 47831 75684 81996 88298 95662 116161 132447 143493 176596 191324 232322 264894 286986 334817 348483 362149 464644 529788 573972 669634 696966 724298 813127 1004451 1086447 1339268 1393932 1448596 1626254 2008902 2172894 2439381 2535043 3252508 4017804 4345788 4878762 5070086 5691889 6156533 7605129 9757524 10140172 11383778 12313066 15210258 17075667 17745301 18469599 22767556 24626132 30420516 34151334 35490602 36939198 43095731 53235903 68302668 70981204 73878396 86191462 106471806 129287193 172382924 212943612 258574386 301670117 517148772 603340234 905010351 1206680468 1810020702 3620041404