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3411384130 = 2571159611231
BaseRepresentation
bin1100101101010101…
…1001011101000010
322210202010021021101
43023111121131002
523441303243010
61322301445014
7150352200220
oct31325313502
98722107241
103411384130
1114a0701430
127b257076a
134249b06bb
142450d1b10
1514e75573a
hexcb559742

3411384130 has 128 divisors (see below), whose sum is σ = 7919493120. Its totient is φ = 1027296000.

The previous prime is 3411384107. The next prime is 3411384247. The reversal of 3411384130 is 314831143.

3411384130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2770615 + ... + 2771845.

It is an arithmetic number, because the mean of its divisors is an integer number (61871040).

Almost surely, 23411384130 is an apocalyptic number.

3411384130 is an abundant number, since it is smaller than the sum of its proper divisors (4508108990).

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

3411384130 is a wasteful number, since it uses less digits than its factorization.

3411384130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 3411384130 is about 58407.0554813372. The cubic root of 3411384130 is about 1505.3709868609.

The spelling of 3411384130 in words is "three billion, four hundred eleven million, three hundred eighty-four thousand, one hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 55 59 61 70 77 110 118 122 154 295 305 385 413 427 590 610 649 671 770 826 854 1231 1298 1342 2065 2135 2462 3245 3355 3599 4130 4270 4543 4697 6155 6490 6710 7198 8617 9086 9394 12310 13541 17234 17995 22715 23485 25193 27082 35990 39589 43085 45430 46970 50386 67705 72629 75091 79178 86170 94787 125965 135410 145258 150182 189574 197945 251930 277123 363145 375455 395890 473935 508403 525637 554246 726290 750910 798919 826001 947870 1016806 1051274 1385615 1597838 1652002 2542015 2628185 2771230 3994595 4130005 4430369 5084030 5256370 5592433 5782007 7989190 8260010 8860738 11184866 11564014 22151845 27962165 28910035 31012583 44303690 48734059 55924330 57820070 62025166 97468118 155062915 243670295 310125830 341138413 487340590 682276826 1705692065 3411384130