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609042240 = 2634523497
BaseRepresentation
bin100100010011010…
…011111101000000
31120110000112220000
4210103103331000
52221403322430
6140233520000
721043526232
oct4423237500
91513015800
10609042240
112928744a4
1214bb73000
1399243531
145ac5c252
1538706e60
hex244d3f40

609042240 has 140 divisors (see below), whose sum is σ = 2166562596. Its totient is φ = 162404352.

The previous prime is 609042223. The next prime is 609042251. The reversal of 609042240 is 42240906.

It can be written as a sum of positive squares in 2 ways, for example, as 355850496 + 253191744 = 18864^2 + 15912^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 14172 + ... + 37668.

Almost surely, 2609042240 is an apocalyptic number.

609042240 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 609042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083281298).

609042240 is an abundant number, since it is smaller than the sum of its proper divisors (1557520356).

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

609042240 is a wasteful number, since it uses less digits than its factorization.

609042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23526 (or 23507 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 609042240 is about 24678.7811692555. The cubic root of 609042240 is about 847.6485134049.

The spelling of 609042240 in words is "six hundred nine million, forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 23497 25920 46994 70491 93988 117485 140982 187976 211473 234970 281964 352455 375952 422946 469940 563928 634419 704910 751904 845892 939880 1057365 1127856 1268838 1409820 1503808 1691784 1879760 1903257 2114730 2255712 2537676 2819640 3172095 3383568 3759520 3806514 4229460 4511424 5075352 5639280 6344190 6767136 7519040 7613028 8458920 9516285 10150704 11278560 12688380 13534272 15226056 16917840 19032570 20301408 22557120 25376760 30452112 33835680 38065140 40602816 50753520 60904224 67671360 76130280 101507040 121808448 152260560 203014080 304521120 609042240