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3440001636 = 2234671071481
BaseRepresentation
bin1100110100001010…
…0100001001100100
322212201222012010000
43031002210021210
524021120023021
61325203101300
7151150350201
oct31502441144
98781865100
103440001636
111505878165
12800071830
1342a8c0336
14248c20ca8
15152009b26
hexcd0a4264

3440001636 has 120 divisors (see below), whose sum is σ = 9218585376. Its totient is φ = 1118240640.

The previous prime is 3440001613. The next prime is 3440001673. The reversal of 3440001636 is 6361000443.

It is a super-2 number, since 2×34400016362 = 23667222511365352992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2322016 + ... + 2323496.

Almost surely, 23440001636 is an apocalyptic number.

3440001636 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 3440001636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4609292688).

3440001636 is an abundant number, since it is smaller than the sum of its proper divisors (5778583740).

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

3440001636 is a wasteful number, since it uses less digits than its factorization.

3440001636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3440001636 is about 58651.5271412433. The cubic root of 3440001636 is about 1509.5687021650.

The spelling of 3440001636 in words is "three billion, four hundred forty million, one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 107 108 134 162 201 214 268 321 324 402 428 603 642 804 963 1206 1284 1481 1809 1926 2412 2889 2962 3618 3852 4443 5427 5778 5924 7169 7236 8667 8886 10854 11556 13329 14338 17334 17772 21507 21708 26658 28676 34668 39987 43014 53316 64521 79974 86028 99227 119961 129042 158467 159948 193563 198454 239922 258084 297681 316934 387126 396908 475401 479844 580689 595362 633868 774252 893043 950802 1161378 1190724 1426203 1786086 1901604 2322756 2679129 2852406 3572172 4278609 5358258 5704812 8037387 8557218 10617289 10716516 12835827 16074774 17114436 21234578 25671654 31851867 32149548 42469156 51343308 63703734 95555601 127407468 191111202 286666803 382222404 573333606 860000409 1146667212 1720000818 3440001636