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3430111344 = 2431119379241
BaseRepresentation
bin1100110001110011…
…0101100001110000
322212001100201011220
43030130311201300
524011102030334
61324211105040
7151000315422
oct31434654160
98761321156
103430111344
111500232470
127b88a2180
134288396aa
142477a8812
15151204449
hexcc735870

3430111344 has 160 divisors (see below), whose sum is σ = 10451592960. Its totient is φ = 958003200.

The previous prime is 3430111337. The next prime is 3430111397. The reversal of 3430111344 is 4431110343.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 366564 + ... + 375804.

It is an arithmetic number, because the mean of its divisors is an integer number (65322456).

Almost surely, 23430111344 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 3430111344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225796480).

3430111344 is an abundant number, since it is smaller than the sum of its proper divisors (7021481616).

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

3430111344 is a wasteful number, since it uses less digits than its factorization.

3430111344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9319 (or 9313 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3430111344 is about 58567.1524320587. The cubic root of 3430111344 is about 1508.1206014428.

Adding to 3430111344 its reverse (4431110343), we get a palindrome (7861221687).

The spelling of 3430111344 in words is "three billion, four hundred thirty million, one hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 37 38 44 48 57 66 74 76 88 111 114 132 148 152 176 209 222 228 264 296 304 407 418 444 456 528 592 627 703 814 836 888 912 1221 1254 1406 1628 1672 1776 2109 2442 2508 2812 3256 3344 4218 4884 5016 5624 6512 7733 8436 9241 9768 10032 11248 15466 16872 18482 19536 23199 27723 30932 33744 36964 46398 55446 61864 73928 92796 101651 110892 123728 147856 175579 185592 203302 221784 304953 341917 351158 371184 406604 443568 526737 609906 683834 702316 813208 1025751 1053474 1219812 1367668 1404632 1626416 1931369 2051502 2106948 2439624 2735336 2809264 3761087 3862738 4103004 4213896 4879248 5470672 5794107 6496423 7522174 7725476 8206008 8427792 11283261 11588214 12992846 15044348 15450952 16412016 19489269 22566522 23176428 25985692 30088696 30901904 38978538 45133044 46352856 51971384 60177392 71460653 77957076 90266088 92705712 103942768 142921306 155914152 180532176 214381959 285842612 311828304 428763918 571685224 857527836 1143370448 1715055672 3430111344