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234064880 = 24573197139
BaseRepresentation
bin11011111001110…
…00101111110000
3121022102201122122
431330320233300
5434410034010
635120453412
75541342620
oct1574705760
9538381578
10234064880
1111013a455
126647a268
133965353a
142312c880
1515837855
hexdf38bf0

234064880 has 160 divisors (see below), whose sum is σ = 653291520. Its totient is φ = 76308480.

The previous prime is 234064879. The next prime is 234064939. The reversal of 234064880 is 88460432.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 234064880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1683851 + ... + 1683989.

It is an arithmetic number, because the mean of its divisors is an integer number (4083072).

Almost surely, 2234064880 is an apocalyptic number.

234064880 is a gapful number since it is divisible by the number (20) 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 234064880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326645760).

234064880 is an abundant number, since it is smaller than the sum of its proper divisors (419226640).

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

234064880 is a wasteful number, since it uses less digits than its factorization.

234064880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 234064880 is about 15299.1790629432. The cubic root of 234064880 is about 616.2809619538.

The spelling of 234064880 in words is "two hundred thirty-four million, sixty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 97 112 124 139 140 155 194 217 248 278 280 310 388 434 485 496 556 560 620 679 695 776 868 970 973 1085 1112 1240 1358 1390 1552 1736 1940 1946 2170 2224 2480 2716 2780 3007 3395 3472 3880 3892 4309 4340 4865 5432 5560 6014 6790 7760 7784 8618 8680 9730 10864 11120 12028 13483 13580 15035 15568 17236 17360 19460 21049 21545 24056 26966 27160 30070 30163 34472 38920 42098 43090 48112 53932 54320 60140 60326 67415 68944 77840 84196 86180 94381 105245 107864 120280 120652 134830 150815 168392 172360 188762 210490 215728 240560 241304 269660 301630 336784 344720 377524 417973 420980 471905 482608 539320 603260 755048 835946 841960 943810 1078640 1206520 1510096 1671892 1683920 1887620 2089865 2413040 2925811 3343784 3775240 4179730 5851622 6687568 7550480 8359460 11703244 14629055 16718920 23406488 29258110 33437840 46812976 58516220 117032440 234064880