Search a number
-
+
3425822720 = 2115973449
BaseRepresentation
bin1100110000110001…
…1110100000000000
322211202021211021222
43030030132200000
524004002311340
61323535134212
7150616004225
oct31414364000
98752254258
103425822720
1114a8873351
127b7374368
13427997648
14246dad94c
15150b588b5
hexcc31e800

3425822720 has 96 divisors (see below), whose sum is σ = 8307117000. Its totient is φ = 1355808768.

The previous prime is 3425822717. The next prime is 3425822731. The reversal of 3425822720 is 272285243.

It can be written as a sum of positive squares in 4 ways, for example, as 1506681856 + 1919140864 = 38816^2 + 43808^2 .

It is a super-2 number, since 2×34258227202 = 23472522617736396800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 991556 + ... + 995004.

Almost surely, 23425822720 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 3425822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153558500).

3425822720 is an abundant number, since it is smaller than the sum of its proper divisors (4881294280).

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

3425822720 is an equidigital number, since it uses as much as digits as its factorization.

3425822720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 3425822720 is about 58530.5281028627. The cubic root of 3425822720 is about 1507.4918113977.

The spelling of 3425822720 in words is "three billion, four hundred twenty-five million, eight hundred twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 256 320 388 485 512 640 776 970 1024 1280 1552 1940 2048 2560 3104 3449 3880 5120 6208 6898 7760 10240 12416 13796 15520 17245 24832 27592 31040 34490 49664 55184 62080 68980 99328 110368 124160 137960 198656 220736 248320 275920 334553 441472 496640 551840 669106 882944 993280 1103680 1338212 1672765 1765888 2207360 2676424 3345530 3531776 4414720 5352848 6691060 7063552 8829440 10705696 13382120 17658880 21411392 26764240 35317760 42822784 53528480 85645568 107056960 171291136 214113920 342582272 428227840 685164544 856455680 1712911360 3425822720