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3424287060 = 22325193241409
BaseRepresentation
bin1100110000011010…
…0111100101010100
322211122101210202200
43030012213211110
524003104141220
61323442204500
7150566650125
oct31406474524
98748353680
103424287060
1114a7a14607
127b6953730
1342757a67c
14246ad004c
15150953890
hexcc1a7954

3424287060 has 144 divisors (see below), whose sum is σ = 10509779280. Its totient is φ = 902430720.

The previous prime is 3424287043. The next prime is 3424287073. The reversal of 3424287060 is 607824243.

It can be written as a sum of positive squares in 8 ways, for example, as 97535376 + 3326751684 = 9876^2 + 57678^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8372136 + ... + 8372544.

Almost surely, 23424287060 is an apocalyptic number.

3424287060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3424287060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5254889640).

3424287060 is an abundant number, since it is smaller than the sum of its proper divisors (7085492220).

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

3424287060 is a wasteful number, since it uses less digits than its factorization.

3424287060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3424287060 is about 58517.4081791051. The cubic root of 3424287060 is about 1507.2665282022.

The spelling of 3424287060 in words is "three billion, four hundred twenty-four million, two hundred eighty-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 193 241 386 409 482 579 723 772 818 964 965 1158 1205 1227 1446 1636 1737 1930 2045 2169 2316 2410 2454 2892 2895 3474 3615 3681 3860 4090 4338 4820 4908 5790 6135 6948 7230 7362 8180 8676 8685 10845 11580 12270 14460 14724 17370 18405 21690 24540 34740 36810 43380 46513 73620 78937 93026 98569 139539 157874 186052 197138 232565 236811 279078 295707 315748 394276 394685 418617 465130 473622 492845 558156 591414 697695 710433 789370 837234 887121 930260 947244 985690 1182828 1184055 1395390 1420866 1478535 1578740 1674468 1774242 1971380 2093085 2368110 2790780 2841732 2957070 3548484 3552165 4186170 4435605 4736220 5914140 7104330 8372340 8871210 14208660 17742420 19023817 38047634 57071451 76095268 95119085 114142902 171214353 190238170 228285804 285357255 342428706 380476340 570714510 684857412 856071765 1141429020 1712143530 3424287060