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2734143320 = 2351719431491
BaseRepresentation
bin1010001011110111…
…1011011101011000
321001112202212112102
42202331323131120
521044420041240
61131150102532
7124516556216
oct24275733530
97045685472
102734143320
111183397387
126437aaa48
133475ac5ac
141bd19dcb6
1511007b815
hexa2f7b758

2734143320 has 128 divisors (see below), whose sum is σ = 6886425600. Its totient is φ = 970905600.

The previous prime is 2734143317. The next prime is 2734143329. The reversal of 2734143320 is 233414372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2734143329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5568275 + ... + 5568765.

It is an arithmetic number, because the mean of its divisors is an integer number (53800200).

Almost surely, 22734143320 is an apocalyptic number.

2734143320 is a gapful number since it is divisible by the number (20) 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 2734143320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443212800).

2734143320 is an abundant number, since it is smaller than the sum of its proper divisors (4152282280).

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

2734143320 is a wasteful number, since it uses less digits than its factorization.

2734143320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 2734143320 is about 52289.0363269395. The cubic root of 2734143320 is about 1398.3216827180.

Adding to 2734143320 its reverse (233414372), we get a palindrome (2967557692).

The spelling of 2734143320 in words is "two billion, seven hundred thirty-four million, one hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 431 491 646 680 760 862 982 1292 1615 1724 1964 2155 2455 2584 3230 3448 3928 4310 4910 6460 7327 8189 8347 8620 9329 9820 12920 14654 16378 16694 17240 18658 19640 29308 32756 33388 36635 37316 40945 41735 46645 58616 65512 66776 73270 74632 81890 83470 93290 139213 146540 158593 163780 166940 186580 211621 278426 293080 317186 327560 333880 373160 423242 556852 634372 696065 792965 846484 1058105 1113704 1268744 1392130 1585930 1692968 2116210 2784260 3171860 3597557 4020799 4232420 5568520 6343720 7195114 8041598 8464840 14390228 16083196 17987785 20103995 28780456 32166392 35975570 40207990 68353583 71951140 80415980 136707166 143902280 160831960 273414332 341767915 546828664 683535830 1367071660 2734143320