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234802031472 = 2435139434471
BaseRepresentation
bin1101101010101101001…
…0101010101101110000
3211110001202110001200000
43122223102222231300
512321333310001342
6255511102230000
722651420223421
oct3325322525560
9743052401600
10234802031472
1190640697588
123960a885300
13191ac51a3c8
14b5161b7648
15619394c44c
hex36ab4aab70

234802031472 has 120 divisors (see below), whose sum is σ = 686361486720. Its totient is φ = 77704090560.

The previous prime is 234802031461. The next prime is 234802031501. The reversal of 234802031472 is 274130208432.

It is a happy number.

234802031472 is a `hidden beast` number, since 234 + 80 + 203 + 147 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323197 + ... + 757667.

It is an arithmetic number, because the mean of its divisors is an integer number (5719679056).

Almost surely, 2234802031472 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 234802031472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343180743360).

234802031472 is an abundant number, since it is smaller than the sum of its proper divisors (451559455248).

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

234802031472 is a wasteful number, since it uses less digits than its factorization.

234802031472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434633 (or 434615 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 234802031472 in words is "two hundred thirty-four billion, eight hundred two million, thirty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 139 144 162 216 243 278 324 417 432 486 556 648 834 972 1112 1251 1296 1668 1944 2224 2502 3336 3753 3888 5004 6672 7506 10008 11259 15012 20016 22518 30024 33777 45036 60048 67554 90072 135108 180144 270216 434471 540432 868942 1303413 1737884 2606826 3475768 3910239 5213652 6951536 7820478 10427304 11730717 15640956 20854608 23461434 31281912 35192151 46922868 60391469 62563824 70384302 93845736 105576453 120782938 140768604 181174407 187691472 211152906 241565876 281537208 362348814 422305812 483131752 543523221 563074416 724697628 844611624 966263504 1087046442 1449395256 1630569663 1689223248 2174092884 2898790512 3261139326 4348185768 4891708989 6522278652 8696371536 9783417978 13044557304 14675126967 19566835956 26089114608 29350253934 39133671912 58700507868 78267343824 117401015736 234802031472