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264023430 = 2351117192477
BaseRepresentation
bin11111011110010…
…10110110000110
3200101210210001120
433233022312012
51020042222210
642110534410
76354106416
oct1757126606
9611723046
10264023430
11126041790
1274507406
13429126a8
14270ca646
15182a4270
hexfbcad86

264023430 has 128 divisors (see below), whose sum is σ = 770757120. Its totient is φ = 57047040.

The previous prime is 264023429. The next prime is 264023443. The reversal of 264023430 is 34320462.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 264023430.

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 63 ways as a sum of consecutive naturals, for example, 105352 + ... + 107828.

It is an arithmetic number, because the mean of its divisors is an integer number (6021540).

Almost surely, 2264023430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264023430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385378560).

264023430 is an abundant number, since it is smaller than the sum of its proper divisors (506733690).

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

264023430 is a wasteful number, since it uses less digits than its factorization.

264023430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 264023430 is about 16248.7978016837. The cubic root of 264023430 is about 641.5258433492.

Adding to 264023430 its reverse (34320462), we get a palindrome (298343892).

The spelling of 264023430 in words is "two hundred sixty-four million, twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 19 22 30 33 34 38 51 55 57 66 85 95 102 110 114 165 170 187 190 209 255 285 323 330 374 418 510 561 570 627 646 935 969 1045 1122 1254 1615 1870 1938 2090 2477 2805 3135 3230 3553 4845 4954 5610 6270 7106 7431 9690 10659 12385 14862 17765 21318 24770 27247 35530 37155 42109 47063 53295 54494 74310 81741 84218 94126 106590 126327 136235 141189 163482 210545 235315 252654 272470 282378 408705 421090 463199 470630 517693 631635 705945 800071 817410 926398 1035386 1263270 1389597 1411890 1553079 1600142 2315995 2400213 2588465 2779194 3106158 4000355 4631990 4800426 5176930 6947985 7765395 8000710 8800781 12001065 13895970 15530790 17601562 24002130 26402343 44003905 52804686 88007810 132011715 264023430