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34312520000 = 26541177983
BaseRepresentation
bin11111111101001011…
…111000000101000000
310021120022001121200002
4133331023320011000
51030233001120000
623432444215132
72323203415313
oct377513700500
9107508047602
1034312520000
1113608583150
12679723a4a8
13330a979195
1419370b097a
15d5c5328d5
hex7fd2f8140

34312520000 has 140 divisors (see below), whose sum is σ = 92819988096. Its totient is φ = 12477120000.

The previous prime is 34312519991. The next prime is 34312520003. The reversal of 34312520000 is 2521343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34312520003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 401009 + ... + 478991.

Almost surely, 234312520000 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 34312520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46409994048).

34312520000 is an abundant number, since it is smaller than the sum of its proper divisors (58507468096).

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

34312520000 is an equidigital number, since it uses as much as digits as its factorization.

34312520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78026 (or 78001 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The spelling of 34312520000 in words is "thirty-four billion, three hundred twelve million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 27500 40000 44000 55000 77983 88000 110000 155966 220000 311932 389915 440000 623864 779830 857813 1247728 1559660 1715626 1949575 2495456 3119320 3431252 3899150 4289065 4990912 6238640 6862504 7798300 8578130 9747875 12477280 13725008 15596600 17156260 19495750 21445325 24954560 27450016 31193200 34312520 38991500 42890650 48739375 54900032 62386400 68625040 77983000 85781300 97478750 107226625 124772800 137250080 155966000 171562600 194957500 214453250 274500160 311932000 343125200 389915000 428906500 536133125 623864000 686250400 779830000 857813000 1072266250 1372500800 1559660000 1715626000 2144532500 3119320000 3431252000 4289065000 6862504000 8578130000 17156260000 34312520000