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234099072 = 273467337
BaseRepresentation
bin11011111010000…
…01000110000000
3121022111110120000
431331001012000
5434412132242
635121320000
75541544404
oct1575010600
9538443500
10234099072
11110163109
1266496000
1339665c7c
142313b104
1515842a4c
hexdf41180

234099072 has 160 divisors (see below), whose sum is σ = 709171320. Its totient is φ = 76640256.

The previous prime is 234099067. The next prime is 234099109. The reversal of 234099072 is 270990432.

It is a super-2 number, since 2×2340990722 = 109604751022522368, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 694488 + ... + 694824.

Almost surely, 2234099072 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 234099072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354585660).

234099072 is an abundant number, since it is smaller than the sum of its proper divisors (475072248).

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

234099072 is an equidigital number, since it uses as much as digits as its factorization.

234099072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 234099072 is about 15300.2964677159. The cubic root of 234099072 is about 616.3109690935.

The spelling of 234099072 in words is "two hundred thirty-four million, ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 81 96 108 128 134 144 162 192 201 216 268 288 324 337 384 402 432 536 576 603 648 674 804 864 1011 1072 1152 1206 1296 1348 1608 1728 1809 2022 2144 2412 2592 2696 3033 3216 3456 3618 4044 4288 4824 5184 5392 5427 6066 6432 7236 8088 8576 9099 9648 10368 10784 10854 12132 12864 14472 16176 18198 19296 21568 21708 22579 24264 25728 27297 28944 32352 36396 38592 43136 43416 45158 48528 54594 57888 64704 67737 72792 77184 86832 90316 97056 109188 115776 129408 135474 145584 173664 180632 194112 203211 218376 231552 270948 291168 347328 361264 388224 406422 436752 541896 582336 609633 694656 722528 812844 873504 1083792 1164672 1219266 1445056 1625688 1747008 1828899 2167584 2438532 2890112 3251376 3494016 3657798 4335168 4877064 6502752 7315596 8670336 9754128 13005504 14631192 19508256 26011008 29262384 39016512 58524768 78033024 117049536 234099072