Search a number
-
+
34630502444340 = 223511227717220367
BaseRepresentation
bin1111101111111000010101…
…10010111110110100110100
311112121122101020222020100020
413313330022302332310310
514014341232111204330
6201353011100445140
710202654063633445
oct767741262766464
9145548336866306
1034630502444340
11100417938a6100
123a737592497b0
131642847389aca
1487a1a7a092cc
15400c438c8210
hex1f7f0acbed34

34630502444340 has 144 divisors (see below), whose sum is σ = 106966588920576. Its totient is φ = 8364964988160.

The previous prime is 34630502444333. The next prime is 34630502444357. The reversal of 34630502444340 is 4344420503643.

It is a junction number, because it is equal to n+sod(n) for n = 34630502444292 and 34630502444301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6599164 + ... + 10621203.

Almost surely, 234630502444340 is an apocalyptic number.

34630502444340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34630502444340 is an abundant number, since it is smaller than the sum of its proper divisors (72336086476236).

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

34630502444340 is a wasteful number, since it uses less digits than its factorization.

34630502444340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17220678 (or 17220665 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 42.

Adding to 34630502444340 its reverse (4344420503643), we get a palindrome (38974922947983).

The spelling of 34630502444340 in words is "thirty-four trillion, six hundred thirty billion, five hundred two million, four hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 277 330 363 484 554 605 660 726 831 1108 1210 1385 1452 1662 1815 2420 2770 3047 3324 3630 4155 5540 6094 7260 8310 9141 12188 15235 16620 18282 30470 33517 36564 45705 60940 67034 91410 100551 134068 167585 182820 201102 335170 402204 502755 670340 1005510 2011020 17220367 34440734 51661101 68881468 86101835 103322202 172203670 189424037 206644404 258305505 344407340 378848074 516611010 568272111 757696148 947120185 1033222020 1136544222 1894240370 2083664407 2273088444 2841360555 3788480740 4167328814 4770041659 5682721110 6250993221 8334657628 9540083318 10418322035 11365442220 12501986442 14310124977 19080166636 20836644070 23850208295 25003972884 28620249954 31254966105 41673288140 47700416590 52470458249 57240499908 62509932210 71550624885 95400833180 104940916498 125019864420 143101249770 157411374747 209881832996 262352291245 286202499540 314822749494 524704582490 577175040739 629645498988 787056873735 1049409164980 1154350081478 1574113747470 1731525122217 2308700162956 2885875203695 3148227494940 3463050244434 5771750407390 6926100488868 8657625611085 11543500814780 17315251222170 34630502444340