Search a number
-
+
1368444168 = 2332721329837
BaseRepresentation
bin101000110010000…
…1100110100001000
310112100222011111100
41101210030310020
510300310203133
6343442301400
745624404100
oct12144146410
93470864440
101368444168
116424a63a3
12322357860
1318a6805a0
14cda5a200
158020ee13
hex5190cd08

1368444168 has 144 divisors (see below), whose sum is σ = 4643091180. Its totient is φ = 360896256.

The previous prime is 1368444137. The next prime is 1368444173. The reversal of 1368444168 is 8614448631.

It can be written as a sum of positive squares in 2 ways, for example, as 1070467524 + 297976644 = 32718^2 + 17262^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30946 + ... + 60782.

Almost surely, 21368444168 is an apocalyptic number.

1368444168 is a gapful number since it is divisible by the number (18) 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 1368444168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321545590).

1368444168 is an abundant number, since it is smaller than the sum of its proper divisors (3274647012).

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

1368444168 is a wasteful number, since it uses less digits than its factorization.

1368444168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29876 (or 29862 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 1368444168 is about 36992.4879941861. The cubic root of 1368444168 is about 1110.2199515430.

The spelling of 1368444168 in words is "one billion, three hundred sixty-eight million, four hundred forty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 3276 3528 3822 5096 5733 6552 7644 11466 15288 22932 29837 45864 59674 89511 119348 179022 208859 238696 268533 358044 387881 417718 537066 626577 716088 775762 835436 1074132 1163643 1253154 1462013 1551524 1670872 1879731 2148264 2327286 2506308 2715167 2924026 3103048 3490929 3759462 4386039 4654572 5012616 5430334 5848052 6981858 7518924 8145501 8772078 9309144 10860668 11696104 13158117 13963716 15037848 16291002 17544156 19006169 21721336 24436503 26316234 27927432 32582004 35088312 38012338 48873006 52632468 57018507 65164008 76024676 97746012 105264936 114037014 152049352 171055521 195492024 228074028 342111042 456148056 684222084 1368444168