Search a number
-
+
30749400 = 233252111553
BaseRepresentation
bin111010101001…
…1001011011000
32010212020020200
41311103023120
530332440100
63015022200
7522236253
oct165231330
963766220
1030749400
11163a2530
12a36a960
1364a8116
14412609a
152a75e00
hex1d532d8

30749400 has 144 divisors (see below), whose sum is σ = 112727160. Its totient is φ = 7449600.

The previous prime is 30749399. The next prime is 30749423. The reversal of 30749400 is 494703.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 19024 + ... + 20576.

Almost surely, 230749400 is an apocalyptic number.

30749400 is a gapful number since it is divisible by the number (30) 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 30749400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56363580).

30749400 is an abundant number, since it is smaller than the sum of its proper divisors (81977760).

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

30749400 is a wasteful number, since it uses less digits than its factorization.

30749400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 30749400 is about 5545.2141527627. The cubic root of 30749400 is about 313.2892901225.

The spelling of 30749400 in words is "thirty million, seven hundred forty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1553 1650 1800 1980 2200 2475 3106 3300 3960 4659 4950 6212 6600 7765 9318 9900 12424 13977 15530 17083 18636 19800 23295 27954 31060 34166 37272 38825 46590 51249 55908 62120 68332 69885 77650 85415 93180 102498 111816 116475 136664 139770 153747 155300 170830 186360 204996 232950 256245 279540 307494 310600 341660 349425 409992 427075 465900 512490 559080 614988 683320 698850 768735 854150 931800 1024980 1229976 1281225 1397700 1537470 1708300 2049960 2562450 2795400 3074940 3416600 3843675 5124900 6149880 7687350 10249800 15374700 30749400