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3420433320 = 2335178320201
BaseRepresentation
bin1100101111011111…
…1010101110101000
322211101011000102120
43023313322232220
524001112331240
61323223431240
7150522126543
oct31367725650
98741130376
103420433320
1114a58221a7
127b55b5520
1342682b555
142463a985a
15150441ad0
hexcbdfaba8

3420433320 has 128 divisors (see below), whose sum is σ = 10996352640. Its totient is φ = 848076800.

The previous prime is 3420433301. The next prime is 3420433349. The reversal of 3420433320 is 233340243.

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

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, 159220 + ... + 179420.

It is an arithmetic number, because the mean of its divisors is an integer number (85909005).

Almost surely, 23420433320 is an apocalyptic number.

3420433320 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 3420433320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5498176320).

3420433320 is an abundant number, since it is smaller than the sum of its proper divisors (7575919320).

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

3420433320 is a wasteful number, since it uses less digits than its factorization.

3420433320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20315 (or 20311 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 3420433320 is about 58484.4707593392. The cubic root of 3420433320 is about 1506.7008830910.

Adding to 3420433320 its reverse (233340243), we get a palindrome (3653773563).

The spelling of 3420433320 in words is "three billion, four hundred twenty million, four hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 83 85 102 120 136 166 170 204 249 255 332 340 408 415 498 510 664 680 830 996 1020 1245 1411 1660 1992 2040 2490 2822 3320 4233 4980 5644 7055 8466 9960 11288 14110 16932 20201 21165 28220 33864 40402 42330 56440 60603 80804 84660 101005 121206 161608 169320 202010 242412 303015 343417 404020 484824 606030 686834 808040 1030251 1212060 1373668 1676683 1717085 2060502 2424120 2747336 3353366 3434170 4121004 5030049 5151255 6706732 6868340 8242008 8383415 10060098 10302510 13413464 13736680 16766830 20120196 20605020 25150245 28503611 33533660 40240392 41210040 50300490 57007222 67067320 85510833 100600980 114014444 142518055 171021666 201201960 228028888 285036110 342043332 427554165 570072220 684086664 855108330 1140144440 1710216660 3420433320