Search a number
-
+
3227663936 = 267431311279
BaseRepresentation
bin1100000001100010…
…0011111001000000
322022221102022112202
43000120203321000
523102240221221
61252140012332
7142661455640
oct30030437100
98287368482
103227663936
111406a28762
12760b310a8
133c5906423
1422894a520
1513d564d0b
hexc0623e40

3227663936 has 112 divisors (see below), whose sum is σ = 7553187840. Its totient is φ = 1339752960.

The previous prime is 3227663927. The next prime is 3227663977. The reversal of 3227663936 is 6393667223.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 2522945 + ... + 2524223.

Almost surely, 23227663936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3227663936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776593920).

3227663936 is an abundant number, since it is smaller than the sum of its proper divisors (4325523904).

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

3227663936 is a wasteful number, since it uses less digits than its factorization.

3227663936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1462 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 47.

The square root of 3227663936 is about 56812.5332651168. The cubic root of 3227663936 is about 1477.8468715470.

The spelling of 3227663936 in words is "three billion, two hundred twenty-seven million, six hundred sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 131 172 224 262 301 344 448 524 602 688 917 1048 1204 1279 1376 1834 2096 2408 2558 2752 3668 4192 4816 5116 5633 7336 8384 8953 9632 10232 11266 14672 17906 19264 20464 22532 29344 35812 39431 40928 45064 54997 58688 71624 78862 81856 90128 109994 143248 157724 167549 180256 219988 286496 315448 335098 360512 384979 439976 572992 630896 670196 769958 879952 1172843 1261792 1340392 1539916 1759904 2345686 2523584 2680784 3079832 3519808 4691372 5361568 6159664 7204607 9382744 10723136 12319328 14409214 18765488 24638656 28818428 37530976 50432249 57636856 75061952 100864498 115273712 201728996 230547424 403457992 461094848 806915984 1613831968 3227663936