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614734890 = 23573115431
BaseRepresentation
bin100100101001000…
…001110000101010
31120211201202201220
4210221001300222
52224333004030
6140555522510
721143106000
oct4451016052
91524652656
10614734890
11296002470
12151a59436
139a487673
145b900a70
1538e7da10
hex24a41c2a

614734890 has 128 divisors (see below), whose sum is σ = 1877299200. Its totient is φ = 127713600.

The previous prime is 614734889. The next prime is 614734907. The reversal of 614734890 is 98437416.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 110475 + ... + 115905.

It is an arithmetic number, because the mean of its divisors is an integer number (14666400).

Almost surely, 2614734890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 614734890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938649600).

614734890 is an abundant number, since it is smaller than the sum of its proper divisors (1262564310).

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

614734890 is a wasteful number, since it uses less digits than its factorization.

614734890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5473 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 614734890 is about 24793.8478256200. The cubic root of 614734890 is about 850.2812863744.

The spelling of 614734890 in words is "six hundred fourteen million, seven hundred thirty-four thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 343 385 462 490 539 686 735 770 1029 1078 1155 1470 1617 1715 2058 2310 2695 3234 3430 3773 5145 5390 5431 7546 8085 10290 10862 11319 16170 16293 18865 22638 27155 32586 37730 38017 54310 56595 59741 76034 81465 113190 114051 119482 162930 179223 190085 228102 266119 298705 358446 380170 418187 532238 570255 597410 798357 836374 896115 1140510 1254561 1330595 1596714 1792230 1862833 2090935 2509122 2661190 2927309 3725666 3991785 4181870 5588499 5854618 6272805 7983570 8781927 9314165 11176998 12545610 14636545 17563854 18628330 20491163 27942495 29273090 40982326 43909635 55884990 61473489 87819270 102455815 122946978 204911630 307367445 614734890