[go: up one dir, main page]

Search a number
-
+
30277884 = 223721317233
BaseRepresentation
bin111001110000…
…0000011111100
32002222021110010
41303200003330
530222343014
63000543220
7515233500
oct163400374
962867403
1030277884
111610024a
12a181b10
136371610
144042300
1529d1359
hex1ce00fc

30277884 has 144 divisors (see below), whose sum is σ = 94112928. Its totient is φ = 7483392.

The previous prime is 30277873. The next prime is 30277927. The reversal of 30277884 is 48877203.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129832 + ... + 130064.

It is an arithmetic number, because the mean of its divisors is an integer number (653562).

Almost surely, 230277884 is an apocalyptic number.

30277884 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 30277884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47056464).

30277884 is an abundant number, since it is smaller than the sum of its proper divisors (63835044).

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

30277884 is a wasteful number, since it uses less digits than its factorization.

30277884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 30277884 is about 5502.5343251996. The cubic root of 30277884 is about 311.6796926441.

The spelling of 30277884 in words is "thirty million, two hundred seventy-seven thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 49 51 52 68 78 84 91 98 102 119 147 156 182 196 204 221 233 238 273 294 357 364 442 466 476 546 588 637 663 699 714 833 884 932 1092 1274 1326 1398 1428 1547 1631 1666 1911 2499 2548 2652 2796 3029 3094 3262 3332 3822 3961 4641 4893 4998 6058 6188 6524 7644 7922 9087 9282 9786 9996 10829 11417 11883 12116 15844 18174 18564 19572 21203 21658 22834 23766 27727 32487 34251 36348 42406 43316 45668 47532 51493 55454 63609 64974 68502 83181 84812 102986 110908 127218 129948 137004 148421 154479 166362 194089 205972 254436 296842 308958 332724 360451 388178 445263 582267 593684 617916 720902 776356 890526 1081353 1164534 1441804 1781052 2162706 2329068 2523157 4325412 5046314 7569471 10092628 15138942 30277884