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3420764600 = 2352112953617
BaseRepresentation
bin1100101111100100…
…1011100110111000
322211101202211212012
43023321023212320
524001203431400
61323234505052
7150525006431
oct31371134670
98741684765
103420764600
1114a5a29090
127b5735188
13426916286
14246454488
151504a9d35
hexcbe4b9b8

3420764600 has 96 divisors (see below), whose sum is σ = 8975653200. Its totient is φ = 1200998400.

The previous prime is 3420764591. The next prime is 3420764671. The reversal of 3420764600 is 64670243.

It is a super-2 number, since 2×34207646002 = 23403260897226320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36992 + ... + 90608.

Almost surely, 23420764600 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 3420764600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4487826600).

3420764600 is an abundant number, since it is smaller than the sum of its proper divisors (5554888600).

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

3420764600 is a wasteful number, since it uses less digits than its factorization.

3420764600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53673 (or 53664 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 3420764600 is about 58487.3028955858. The cubic root of 3420764600 is about 1506.7495244675.

The spelling of 3420764600 in words is "three billion, four hundred twenty million, seven hundred sixty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 145 200 220 232 275 290 319 440 550 580 638 725 1100 1160 1276 1450 1595 2200 2552 2900 3190 5800 6380 7975 12760 15950 31900 53617 63800 107234 214468 268085 428936 536170 589787 1072340 1179574 1340425 1554893 2144680 2359148 2680850 2948935 3109786 4718296 5361700 5897870 6219572 7774465 10723400 11795740 12439144 14744675 15548930 17103823 23591480 29489350 31097860 34207646 38872325 58978700 62195720 68415292 77744650 85519115 117957400 136830584 155489300 171038230 310978600 342076460 427595575 684152920 855191150 1710382300 3420764600