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34023032202124 = 2278340573608543
BaseRepresentation
bin1111011110001100110101…
…01111111010001110001100
311110110120101121112120000101
413233012122233322032030
513424413132220431444
6200205544253140444
710111040312031550
oct757063257721614
9143416347476011
1034023032202124
11a9280a5777009
123995a8478a724
1315ca486b90244
14858a1b59b860
153e003cd053d4
hex1ef19abfa38c

34023032202124 has 48 divisors (see below), whose sum is σ = 68882890180608. Its totient is φ = 14402066410368.

The previous prime is 34023032202121. The next prime is 34023032202253. The reversal of 34023032202124 is 42120223032043.

It is a super-2 number, since 2×340230322021242 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 34023032202092 and 34023032202101.

It is not an unprimeable number, because it can be changed into a prime (34023032202121) 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, 7624197 + ... + 11232739.

It is an arithmetic number, because the mean of its divisors is an integer number (1435060212096).

Almost surely, 234023032202124 is an apocalyptic number.

It is an amenable number.

34023032202124 is an abundant number, since it is smaller than the sum of its proper divisors (34859857978484).

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

34023032202124 is a wasteful number, since it uses less digits than its factorization.

34023032202124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612694 (or 3612692 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 34023032202124 its reverse (42120223032043), we get a palindrome (76143255234167).

The spelling of 34023032202124 in words is "thirty-four trillion, twenty-three billion, thirty-two million, two hundred two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 83 166 332 581 1162 2324 4057 8114 16228 28399 56798 113596 336731 673462 1346924 2357117 3608543 4714234 7217086 9428468 14434172 25259801 50519602 101039204 299509069 599018138 1198036276 2096563483 4193126966 8386253932 14639858951 29279717902 58559435804 102479012657 204958025314 409916050628 1215108292933 2430216585866 4860433171732 8505758050531 17011516101062 34023032202124