Search a number
-
+
34781194368 = 273367150209
BaseRepresentation
bin100000011001000111…
…101110100010000000
310022202221221202001000
4200121013232202000
51032212441204433
623551145412000
72340624163014
oct403107564200
9108687852030
1034781194368
1113829094138
1268a819a000
133383ab3aab
14197d430544
15d8875e113
hex8191ee880

34781194368 has 128 divisors (see below), whose sum is σ = 104185656000. Its totient is φ = 11420614656.

The previous prime is 34781194351. The next prime is 34781194373. The reversal of 34781194368 is 86349118743.

34781194368 is a `hidden beast` number, since 347 + 81 + 194 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 156448 + ... + 306656.

Almost surely, 234781194368 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 34781194368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52092828000).

34781194368 is an abundant number, since it is smaller than the sum of its proper divisors (69404461632).

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

34781194368 is a wasteful number, since it uses less digits than its factorization.

34781194368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150299 (or 150281 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 34781194368 in words is "thirty-four billion, seven hundred eighty-one million, one hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 128 134 144 192 201 216 268 288 384 402 432 536 576 603 804 864 1072 1152 1206 1608 1728 1809 2144 2412 3216 3456 3618 4288 4824 6432 7236 8576 9648 12864 14472 19296 25728 28944 38592 57888 77184 115776 150209 231552 300418 450627 600836 901254 1201672 1351881 1802508 2403344 2703762 3605016 4055643 4806688 5407524 7210032 8111286 9613376 10064003 10815048 14420064 16222572 19226752 20128006 21630096 28840128 30192009 32445144 40256012 43260192 57680256 60384018 64890288 80512024 86520384 90576027 120768036 129780576 161024048 173040768 181152054 241536072 259561152 271728081 322048096 362304108 483072144 519122304 543456162 644096192 724608216 966144288 1086912324 1288192384 1449216432 1932288576 2173824648 2898432864 3864577152 4347649296 5796865728 8695298592 11593731456 17390597184 34781194368