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3678727430 = 257229279113
BaseRepresentation
bin1101101101000100…
…1110110100000110
3100111101011201100002
43123101032310012
530013223234210
61405011521302
7160106444600
oct33321166406
910441151302
103678727430
111618600404
12867bb9232
134681b61c1
1426c804170
15167e634a5
hexdb44ed06

3678727430 has 144 divisors (see below), whose sum is σ = 8150051520. Its totient is φ = 1191730176.

The previous prime is 3678727399. The next prime is 3678727439. The reversal of 3678727430 is 347278763.

3678727430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3678727439) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32555054 + ... + 32555166.

It is an arithmetic number, because the mean of its divisors is an integer number (56597580).

Almost surely, 23678727430 is an apocalyptic number.

3678727430 is an abundant number, since it is smaller than the sum of its proper divisors (4471324090).

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

3678727430 is a wasteful number, since it uses less digits than its factorization.

3678727430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 47.

The square root of 3678727430 is about 60652.5137978633. The cubic root of 3678727430 is about 1543.7105428348.

The spelling of 3678727430 in words is "three billion, six hundred seventy-eight million, seven hundred twenty-seven thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 29 35 49 58 70 79 98 113 145 158 203 226 245 290 395 406 490 553 565 790 791 841 1015 1106 1130 1421 1582 1682 2030 2291 2765 2842 3277 3871 3955 4205 4582 5530 5537 5887 6554 7105 7742 7910 8410 8927 11074 11455 11774 14210 16037 16385 17854 19355 22910 22939 27685 29435 32074 32770 38710 41209 44635 45878 55370 58870 62489 66439 80185 82418 89270 95033 112259 114695 124978 132878 160370 160573 190066 206045 224518 229390 258883 312445 321146 332195 412090 437423 465073 475165 517766 561295 624890 664390 665231 802865 874846 930146 950330 1122590 1294415 1330462 1605730 1812181 2187115 2325365 2588830 3255511 3326155 3624362 4374230 4650730 4656617 6511022 6652310 7507607 9060905 9313234 12685267 15015214 16277555 18121810 23283085 25370534 32555110 37538035 46566170 52553249 63426335 75076070 105106498 126852670 262766245 367872743 525532490 735745486 1839363715 3678727430