Search a number
-
+
331267104 = 2533754773
BaseRepresentation
bin10011101111101…
…011110000100000
3212002100010001000
4103233223300200
51134301021404
652512112000
711131503210
oct2357536040
9762303030
10331267104
1115aa9a973
1292b35600
135382774c
1431dd2240
151e138339
hex13bebc20

331267104 has 96 divisors (see below), whose sum is σ = 1104243840. Its totient is φ = 94646016.

The previous prime is 331267103. The next prime is 331267121. The reversal of 331267104 is 401762133.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331267103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21339 + ... + 33434.

It is an arithmetic number, because the mean of its divisors is an integer number (11502540).

Almost surely, 2331267104 is an apocalyptic number.

It is an amenable number.

331267104 is an abundant number, since it is smaller than the sum of its proper divisors (772976736).

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

331267104 is a wasteful number, since it uses less digits than its factorization.

331267104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54799 (or 54785 counting only the distinct ones).

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

The square root of 331267104 is about 18200.7446001530. The cubic root of 331267104 is about 691.9256605408.

The spelling of 331267104 in words is "three hundred thirty-one million, two hundred sixty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 54773 109546 164319 219092 328638 383411 438184 492957 657276 766822 876368 985914 1150233 1314552 1478871 1533644 1752736 1971828 2300466 2629104 2957742 3067288 3450699 3943656 4600932 5258208 5915484 6134576 6901398 7887312 9201864 10352097 11830968 12269152 13802796 15774624 18403728 20704194 23661936 27605592 36807456 41408388 47323872 55211184 82816776 110422368 165633552 331267104