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3434016550344 = 2331943175133443
BaseRepresentation
bin110001111110001011010…
…101100010110111001000
3110011021210111222110001220
4301332023111202313020
5422230331214102334
611145322044242040
7503046063031212
oct61761325426710
913137714873056
103434016550344
1111043a38aa8a6
12475651240320
131bba986cac33
14bc2c8b255b2
155e4d76aa449
hex31f8b562dc8

3434016550344 has 64 divisors (see below), whose sum is σ = 9247045843200. Its totient is φ = 1059207057216.

The previous prime is 3434016550343. The next prime is 3434016550357. The reversal of 3434016550344 is 4430556104343.

It is a junction number, because it is equal to n+sod(n) for n = 3434016550296 and 3434016550305.

It is not an unprimeable number, because it can be changed into a prime (3434016550343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87547114 + ... + 87586329.

It is an arithmetic number, because the mean of its divisors is an integer number (144485091300).

Almost surely, 23434016550344 is an apocalyptic number.

It is an amenable number.

3434016550344 is an abundant number, since it is smaller than the sum of its proper divisors (5813029292856).

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

3434016550344 is a wasteful number, since it uses less digits than its factorization.

3434016550344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175133514 (or 175133510 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 3434016550344 in words is "three trillion, four hundred thirty-four billion, sixteen million, five hundred fifty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 57 76 86 114 129 152 172 228 258 344 456 516 817 1032 1634 2451 3268 4902 6536 9804 19608 175133443 350266886 525400329 700533772 1050800658 1401067544 2101601316 3327535417 4203202632 6655070834 7530738049 9982606251 13310141668 15061476098 19965212502 22592214147 26620283336 30122952196 39930425004 45184428294 60245904392 79860850008 90368856588 143084022931 180737713176 286168045862 429252068793 572336091724 858504137586 1144672183448 1717008275172 3434016550344