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270980340 = 2235171491783
BaseRepresentation
bin10000001001101…
…101010011110100
3200212220020010220
4100021231103310
51023332332330
642520014340
76500203101
oct2011552364
9625806126
10270980340
11129a635a4
12769013b0
13441aa0c7
1427dbbaa8
1518bca710
hex1026d4f4

270980340 has 96 divisors (see below), whose sum is σ = 809222400. Its totient is φ = 67516416.

The previous prime is 270980327. The next prime is 270980363. The reversal of 270980340 is 43089072.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151089 + ... + 152871.

It is an arithmetic number, because the mean of its divisors is an integer number (8429400).

Almost surely, 2270980340 is an apocalyptic number.

270980340 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 270980340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404611200).

270980340 is an abundant number, since it is smaller than the sum of its proper divisors (538242060).

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

270980340 is a wasteful number, since it uses less digits than its factorization.

270980340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 270980340 is about 16461.4804923494. The cubic root of 270980340 is about 647.1117134567. Note that the first 3 decimals are identical.

The spelling of 270980340 in words is "two hundred seventy million, nine hundred eighty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 149 170 204 255 298 340 447 510 596 745 894 1020 1490 1783 1788 2235 2533 2980 3566 4470 5066 5349 7132 7599 8915 8940 10132 10698 12665 15198 17830 21396 25330 26745 30311 30396 35660 37995 50660 53490 60622 75990 90933 106980 121244 151555 151980 181866 265667 303110 363732 454665 531334 606220 797001 909330 1062668 1328335 1594002 1818660 2656670 3188004 3985005 4516339 5313340 7970010 9032678 13549017 15940020 18065356 22581695 27098034 45163390 54196068 67745085 90326780 135490170 270980340