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234518064 = 243111997241
BaseRepresentation
bin11011111101001…
…11011000110000
3121100021202022020
431332213120300
5440014034224
635134311440
75545241064
oct1576473060
9540252266
10234518064
11110419990
1266658580
13397818b1
1423209aa4
15158c6c79
hexdfa7630

234518064 has 160 divisors (see below), whose sum is σ = 705788160. Its totient is φ = 66355200.

The previous prime is 234518029. The next prime is 234518101. The reversal of 234518064 is 460815432.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 972984 + ... + 973224.

It is an arithmetic number, because the mean of its divisors is an integer number (4411176).

Almost surely, 2234518064 is an apocalyptic number.

234518064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234518064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352894080).

234518064 is an abundant number, since it is smaller than the sum of its proper divisors (471270096).

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

234518064 is a wasteful number, since it uses less digits than its factorization.

234518064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 234518064 is about 15313.9826302631. The cubic root of 234518064 is about 616.6784423691.

The spelling of 234518064 in words is "two hundred thirty-four million, five hundred eighteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 97 114 132 152 176 194 209 228 241 264 291 304 388 418 456 482 528 582 627 723 776 836 912 964 1067 1164 1254 1446 1552 1672 1843 1928 2134 2328 2508 2651 2892 3201 3344 3686 3856 4268 4579 4656 5016 5302 5529 5784 6402 7372 7953 8536 9158 10032 10604 11058 11568 12804 13737 14744 15906 17072 18316 20273 21208 22116 23377 25608 27474 29488 31812 36632 40546 42416 44232 46754 50369 51216 54948 60819 63624 70131 73264 81092 88464 93508 100738 109896 121638 127248 140262 151107 162184 187016 201476 219792 243276 257147 280524 302214 324368 374032 402952 444163 486552 514294 561048 604428 771441 805904 888326 973104 1028588 1122096 1208856 1332489 1542882 1776652 2057176 2417712 2664978 3085764 3553304 4114352 4885793 5329956 6171528 7106608 9771586 10659912 12343056 14657379 19543172 21319824 29314758 39086344 58629516 78172688 117259032 234518064