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4234240440 = 2333519206347
BaseRepresentation
bin1111110001100001…
…0110000110111000
3101221002110200221000
43330120112012320
532132431143230
61540054245000
7206633310213
oct37430260670
911832420830
104234240440
111883133571
129a2056760
13526306b21
142c24ca77a
1519bae4b60
hexfc6161b8

4234240440 has 128 divisors (see below), whose sum is σ = 14857056000. Its totient is φ = 1069697664.

The previous prime is 4234240399. The next prime is 4234240463. The reversal of 4234240440 is 440424324.

It is a happy number.

4234240440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82654 + ... + 123693.

It is an arithmetic number, because the mean of its divisors is an integer number (116070750).

Almost surely, 24234240440 is an apocalyptic number.

4234240440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4234240440 is an abundant number, since it is smaller than the sum of its proper divisors (10622815560).

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

4234240440 is a wasteful number, since it uses less digits than its factorization.

4234240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206386 (or 206376 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4234240440 is about 65071.0414854411. The cubic root of 4234240440 is about 1617.8012695435.

Adding to 4234240440 its reverse (440424324), we get a palindrome (4674664764).

The spelling of 4234240440 in words is "four billion, two hundred thirty-four million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 10260 20520 206347 412694 619041 825388 1031735 1238082 1650776 1857123 2063470 2476164 3095205 3714246 3920593 4126940 4952328 5571369 6190410 7428492 7841186 8253880 9285615 11142738 11761779 12380820 14856984 15682372 18571230 19602965 22285476 23523558 24761640 27856845 31364744 35285337 37142460 39205930 44570952 47047116 55713690 58808895 70570674 74284920 78411860 94094232 105856011 111427380 117617790 141141348 156823720 176426685 211712022 222854760 235235580 282282696 352853370 423424044 470471160 529280055 705706740 846848088 1058560110 1411413480 2117120220 4234240440