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614051340 = 223572331631
BaseRepresentation
bin100100100110011…
…010111000001100
31120210110001002020
4210212122320030
52224144120330
6140533130140
721134231100
oct4446327014
91523401066
10614051340
11295685951
12151789950
139a2a84b6
145b7a3900
1538d96210
hex2499ae0c

614051340 has 144 divisors (see below), whose sum is σ = 2009274624. Its totient is φ = 139708800.

The previous prime is 614051311. The next prime is 614051377. The reversal of 614051340 is 43150416.

It is a self number, because there is not a number n which added to its sum of digits gives 614051340.

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 47 ways as a sum of consecutive naturals, for example, 972825 + ... + 973455.

It is an arithmetic number, because the mean of its divisors is an integer number (13953296).

Almost surely, 2614051340 is an apocalyptic number.

614051340 is a gapful number since it is divisible by the number (60) 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 614051340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004637312).

614051340 is an abundant number, since it is smaller than the sum of its proper divisors (1395223284).

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

614051340 is a wasteful number, since it uses less digits than its factorization.

614051340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 614051340 is about 24780.0593219629. The cubic root of 614051340 is about 849.9660147888.

The spelling of 614051340 in words is "six hundred fourteen million, fifty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 331 420 490 588 631 662 735 980 993 1262 1324 1470 1655 1893 1986 2317 2524 2940 3155 3310 3786 3972 4417 4634 4965 6310 6620 6951 7572 8834 9268 9465 9930 11585 12620 13251 13902 16219 17668 18930 19860 22085 23170 26502 27804 30919 32438 34755 37860 44170 46340 48657 53004 61838 64876 66255 69510 81095 88340 92757 97314 123676 132510 139020 154595 162190 185514 194628 208861 243285 265020 309190 324380 371028 417722 463785 486570 618380 626583 835444 927570 973140 1044305 1253166 1462027 1855140 2088610 2506332 2924054 3132915 4177220 4386081 5848108 6265830 7310135 8772162 10234189 12531660 14620270 17544324 20468378 21930405 29240540 30702567 40936756 43860810 51170945 61405134 87721620 102341890 122810268 153512835 204683780 307025670 614051340