Search a number
-
+
1241332704 = 253229148627
BaseRepresentation
bin100100111111101…
…0011101111100000
310012111210020100100
41021333103233200
510020240121304
6323102022400
742522103533
oct11177235740
93174706310
101241332704
115877776a7
122a7877a00
1316a2367c1
14bac0ca1a
1573ea2439
hex49fd3be0

1241332704 has 72 divisors (see below), whose sum is σ = 3651789960. Its totient is φ = 399506688.

The previous prime is 1241332669. The next prime is 1241332711. The reversal of 1241332704 is 4072331421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65962 + ... + 82665.

It is an arithmetic number, because the mean of its divisors is an integer number (50719305).

Almost surely, 21241332704 is an apocalyptic number.

It is an amenable number.

1241332704 is an abundant number, since it is smaller than the sum of its proper divisors (2410457256).

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

1241332704 is a wasteful number, since it uses less digits than its factorization.

1241332704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148672 (or 148661 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1241332704 is about 35232.5517667966. The cubic root of 1241332704 is about 1074.7218184835.

The spelling of 1241332704 in words is "one billion, two hundred forty-one million, three hundred thirty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 148627 297254 445881 594508 891762 1189016 1337643 1783524 2378032 2675286 3567048 4310183 4756064 5350572 7134096 8620366 10701144 12930549 14268192 17240732 21402288 25861098 34481464 38791647 42804576 51722196 68962928 77583294 103444392 137925856 155166588 206888784 310333176 413777568 620666352 1241332704