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3114332430 = 23511611311181
BaseRepresentation
bin1011100110100000…
…1111000100001110
322001001011110221120
42321220033010032
522334232114210
61233010541410
7140114250246
oct27150170416
98031143846
103114332430
111358a61060
1272ab97866
133a82a5871
14217888b26
1513362a270
hexb9a0f10e

3114332430 has 128 divisors (see below), whose sum is σ = 8357893632. Its totient is φ = 736320000.

The previous prime is 3114332387. The next prime is 3114332443. The reversal of 3114332430 is 342334113.

It is a self number, because there is not a number n which added to its sum of digits gives 3114332430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2636440 + ... + 2637620.

It is an arithmetic number, because the mean of its divisors is an integer number (65296044).

Almost surely, 23114332430 is an apocalyptic number.

3114332430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3114332430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178946816).

3114332430 is an abundant number, since it is smaller than the sum of its proper divisors (5243561202).

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

3114332430 is a wasteful number, since it uses less digits than its factorization.

3114332430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3114332430 is about 55806.2042249784. The cubic root of 3114332430 is about 1460.3433904865.

Adding to 3114332430 its reverse (342334113), we get a palindrome (3456666543).

The spelling of 3114332430 in words is "three billion, one hundred fourteen million, three hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 61 66 110 122 131 165 183 262 305 330 366 393 610 655 671 786 915 1181 1310 1342 1441 1830 1965 2013 2362 2882 3355 3543 3930 4026 4323 5905 6710 7086 7205 7991 8646 10065 11810 12991 14410 15982 17715 20130 21615 23973 25982 35430 38973 39955 43230 47946 64955 72041 77946 79910 87901 119865 129910 144082 154711 175802 194865 216123 239730 263703 309422 360205 389730 432246 439505 464133 527406 720410 773555 792451 879010 928266 1080615 1318515 1547110 1584902 1701821 2161230 2320665 2377353 2637030 3403642 3962255 4641330 4754706 5105463 7924510 8509105 9437371 10210926 11886765 17018210 18874742 23773530 25527315 28312113 47186855 51054630 56624226 94373710 103811081 141560565 207622162 283121130 311433243 519055405 622866486 1038110810 1557166215 3114332430