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34220410323240 = 2335833435784169
BaseRepresentation
bin1111100011111100011110…
…11001101100000100101000
311111011102212020021222211110
413301332033121230010220
513441131400020320430
6200440350043230320
710131225445262031
oct761761731540450
9144142766258743
1034220410323240
11a9a3881559859
123a0818a2183a0
131612c80c48a9b
148643c3383a88
153e5240ec67b0
hex1f1f8f66c128

34220410323240 has 64 divisors (see below), whose sum is σ = 103898113300800. Its totient is φ = 9015497656832.

The previous prime is 34220410323217. The next prime is 34220410323251. The reversal of 34220410323240 is 4232301402243.

It is a super-2 number, since 2×342204103232402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34220410323198 and 34220410323207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1717882125 + ... + 1717902044.

It is an arithmetic number, because the mean of its divisors is an integer number (1623408020325).

Almost surely, 234220410323240 is an apocalyptic number.

34220410323240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34220410323240 is an abundant number, since it is smaller than the sum of its proper divisors (69677702977560).

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

34220410323240 is a wasteful number, since it uses less digits than its factorization.

34220410323240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435784266 (or 3435784262 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 34220410323240 its reverse (4232301402243), we get a palindrome (38452711725483).

The spelling of 34220410323240 in words is "thirty-four trillion, two hundred twenty billion, four hundred ten million, three hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 3435784169 6871568338 10307352507 13743136676 17178920845 20614705014 27486273352 34357841690 41229410028 51536762535 68715683380 82458820056 103073525070 137431366760 206147050140 285170086027 412294100280 570340172054 855510258081 1140680344108 1425850430135 1711020516162 2281360688216 2851700860270 3422041032324 4277551290405 5703401720540 6844082064648 8555102580810 11406803441080 17110205161620 34220410323240