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3430312060 = 2257192415351
BaseRepresentation
bin1100110001110110…
…0110100001111100
322212001201220111211
43030131212201330
524011124441220
61324215254204
7151002112540
oct31435464174
98761656454
103430312060
11150035a24a
127b897a364
134288a9b66
1424781ba20
15151243b5a
hexcc76687c

3430312060 has 96 divisors (see below), whose sum is σ = 8703636480. Its totient is φ = 1109376000.

The previous prime is 3430312043. The next prime is 3430312073. The reversal of 3430312060 is 602130343.

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, 638385 + ... + 643735.

It is an arithmetic number, because the mean of its divisors is an integer number (90662880).

Almost surely, 23430312060 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 3430312060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4351818240).

3430312060 is an abundant number, since it is smaller than the sum of its proper divisors (5273324420).

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

3430312060 is a wasteful number, since it uses less digits than its factorization.

3430312060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5627 (or 5625 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 3430312060 is about 58568.8659613621. The cubic root of 3430312060 is about 1508.1500172061.

The spelling of 3430312060 in words is "three billion, four hundred thirty million, three hundred twelve thousand, sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 241 266 380 482 532 665 964 1205 1330 1687 2410 2660 3374 4579 4820 5351 6748 8435 9158 10702 16870 18316 21404 22895 26755 32053 33740 37457 45790 53510 64106 74914 91580 101669 107020 128212 149828 160265 187285 203338 320530 374570 406676 508345 641060 711683 749140 1016690 1289591 1423366 2033380 2579182 2846732 3558415 5158364 6447955 7116830 9027137 12895910 14233660 18054274 24502229 25791820 36108548 45135685 49004458 90271370 98008916 122511145 171515603 180542740 245022290 343031206 490044580 686062412 857578015 1715156030 3430312060