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234097274896 = 24292432972
BaseRepresentation
bin1101101000000101001…
…0001111000000010000
3211101020122022201101121
43122001102033000100
512313412400244041
6255313125012024
722625102001502
oct3320122170020
9741218281347
10234097274896
1190309899531
1239452854014
13190c9503c94
14b48a761d72
156151b3a7d1
hex368148f010

234097274896 has 135 divisors (see below), whose sum is σ = 485930273751. Its totient is φ = 109246298112.

The previous prime is 234097274881. The next prime is 234097274903. The reversal of 234097274896 is 698472790432.

It is a happy number.

The square root of 234097274896 is 483836.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 166410000 + 233930864896 = 12900^2 + 483664^2 .

It is a super-2 number, since 2×2340972748962 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 2413373920 + ... + 2413374016.

Almost surely, 2234097274896 is an apocalyptic number.

234097274896 is the 483836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234097274896

234097274896 is an abundant number, since it is smaller than the sum of its proper divisors (251832998855).

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

234097274896 is an frugal number, since it uses more digits than its factorization.

234097274896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 61.

The spelling of 234097274896 in words is "two hundred thirty-four billion, ninety-seven million, two hundred seventy-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 29 43 58 86 97 116 172 194 232 344 388 464 688 776 841 1247 1552 1682 1849 2494 2813 3364 3698 4171 4988 5626 6728 7396 8342 9409 9976 11252 13456 14792 16684 18818 19952 22504 29584 33368 36163 37636 45008 53621 66736 72326 75272 81577 107242 120959 144652 150544 163154 179353 214484 241918 272861 289304 326308 358706 404587 428968 483836 545722 578608 652616 717412 809174 857936 967672 1091444 1305232 1434824 1555009 1618348 1935344 2182888 2869648 3110018 3236696 3507811 4365776 5201237 6220036 6473392 7015622 7912969 10402474 11733023 12440072 14031244 15825938 17397241 20804948 23466046 24880144 28062488 31651876 34794482 41609896 46932092 56124976 63303752 69588964 83219792 93864184 126607504 139177928 150835873 187728368 278355856 301671746 340257667 504519989 603343492 680515334 1009039978 1206686984 1361030668 2018079956 2413373968 2722061336 4036159912 5444122672 8072319824 14631079681 29262159362 58524318724 117048637448 234097274896