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234716664 = 233721321181
BaseRepresentation
bin11011111110101…
…11110111111000
3121100122211201210
431333113313320
5440041413124
635142443120
75550026100
oct1577276770
9540584653
10234716664
11110545116
12667334a0
1339821100
142325c200
1515915a29
hexdfd7df8

234716664 has 144 divisors (see below), whose sum is σ = 739766520. Its totient is φ = 61850880.

The previous prime is 234716639. The next prime is 234716693. The reversal of 234716664 is 466617432.

It is a happy number.

It is a super-4 number, since 4×2347166644 (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198154 + ... + 199334.

Almost surely, 2234716664 is an apocalyptic number.

234716664 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 234716664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369883260).

234716664 is an abundant number, since it is smaller than the sum of its proper divisors (505049856).

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

234716664 is a wasteful number, since it uses less digits than its factorization.

234716664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1206 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 234716664 is about 15320.4655281750. The cubic root of 234716664 is about 616.8524698778.

It can be divided in two parts, 23471 and 6664, that added together give a triangular number (30135 = T245).

The spelling of 234716664 in words is "two hundred thirty-four million, seven hundred sixteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 169 182 196 273 294 312 338 364 392 507 546 588 637 676 728 1014 1092 1176 1181 1183 1274 1352 1911 2028 2184 2362 2366 2548 3543 3549 3822 4056 4724 4732 5096 7086 7098 7644 8267 8281 9448 9464 14172 14196 15288 15353 16534 16562 24801 24843 28344 28392 30706 33068 33124 46059 49602 49686 57869 61412 66136 66248 92118 99204 99372 107471 115738 122824 173607 184236 198408 198744 199589 214942 231476 322413 347214 368472 399178 429884 462952 598767 644826 694428 752297 798356 859768 1197534 1289652 1388856 1397123 1504594 1596712 2256891 2395068 2579304 2794246 3009188 4191369 4513782 4790136 5588492 6018376 8382738 9027564 9779861 11176984 16765476 18055128 19559722 29339583 33530952 39119444 58679166 78238888 117358332 234716664