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34201331032 = 2311739715483
BaseRepresentation
bin11111110110100011…
…101110010101011000
310021021112211122002011
4133312203232111120
51030021020043112
623413433115304
72320353342241
oct376643562530
9107245748064
1034201331032
111356083a240
126765b58b34
1332c09188ab
141926409cc8
15d528bcaa7
hex7f68ee558

34201331032 has 64 divisors (see below), whose sum is σ = 71001567360. Its totient is φ = 15314515200.

The previous prime is 34201330997. The next prime is 34201331057. The reversal of 34201331032 is 23013310243.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 34201330994 and 34201331012.

It is a congruent number.

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, 6234963 + ... + 6240445.

It is an arithmetic number, because the mean of its divisors is an integer number (1109399490).

Almost surely, 234201331032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34201331032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35500783680).

34201331032 is an abundant number, since it is smaller than the sum of its proper divisors (36800236328).

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

34201331032 is a wasteful number, since it uses less digits than its factorization.

34201331032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6544 (or 6540 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 34201331032 its reverse (23013310243), we get a palindrome (57214641275).

The spelling of 34201331032 in words is "thirty-four billion, two hundred one million, three hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 73 88 146 292 584 803 971 1606 1942 3212 3884 5483 6424 7768 10681 10966 21362 21932 42724 43864 60313 70883 85448 120626 141766 241252 283532 400259 482504 567064 779713 800518 1559426 1601036 3118852 3202072 4402849 5323993 6237704 8805698 10647986 17611396 21295972 35222792 42591944 58563923 117127846 234255692 388651489 468511384 777302978 1554605956 3109211912 4275166379 8550332758 17100665516 34201331032