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234361234072 = 2373733593259
BaseRepresentation
bin1101101001000100000…
…1001010001010011000
3211101221001000020022101
43122101001022022120
512314432433442242
6255355234333144
722634455423000
oct3322101121230
9741831006271
10234361234072
1190434896a09
123950712a1b4
131913c0c3344
14b4b3833000
156169dca9b7
hex369104a298

234361234072 has 128 divisors (see below), whose sum is σ = 521078400000. Its totient is φ = 98758372608.

The previous prime is 234361234069. The next prime is 234361234111. The reversal of 234361234072 is 270432163432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71910379 + ... + 71913637.

It is an arithmetic number, because the mean of its divisors is an integer number (4070925000).

Almost surely, 2234361234072 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 234361234072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260539200000).

234361234072 is an abundant number, since it is smaller than the sum of its proper divisors (286717165928).

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

234361234072 is a wasteful number, since it uses less digits than its factorization.

234361234072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3718 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 37.

The spelling of 234361234072 in words is "two hundred thirty-four billion, three hundred sixty-one million, two hundred thirty-four thousand, seventy-two".

Divisors: 1 2 4 7 8 14 28 49 56 73 98 146 196 292 343 359 392 511 584 686 718 1022 1372 1436 2044 2513 2744 2872 3259 3577 4088 5026 6518 7154 10052 13036 14308 17591 20104 22813 25039 26072 26207 28616 35182 45626 50078 52414 70364 91252 100156 104828 123137 140728 159691 182504 183449 200312 209656 237907 246274 319382 366898 475814 492548 638764 733796 951628 985096 1117837 1169981 1277528 1284143 1467592 1665349 1903256 2235674 2339962 2568286 3330698 4471348 4679924 5136572 6661396 8189867 8942696 8989001 9359848 10273144 11657443 13322792 16379734 17978002 23314886 32759468 35956004 46629772 57329069 65518936 71912008 81602101 85408613 93259544 114658138 163204202 170817226 229316276 326408404 341634452 401303483 458632552 597860291 652816808 683268904 802606966 1195720582 1605213932 2391441164 3210427864 4185022037 4782882328 8370044074 16740088148 29295154259 33480176296 58590308518 117180617036 234361234072