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70534400 = 2852103107
BaseRepresentation
bin1000011010001…
…00010100000000
311220201112000012
410031010110000
5121024100100
610555444052
71514350436
oct415042400
9156645005
1070534400
11368a65a2
121b756628
13117c7b41
149520d56
1562d4135
hex4344500

70534400 has 108 divisors (see below), whose sum is σ = 177926112. Its totient is φ = 27678720.

The previous prime is 70534381. The next prime is 70534447. The reversal of 70534400 is 443507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 659147 + ... + 659253.

It is an arithmetic number, because the mean of its divisors is an integer number (1647464).

Almost surely, 270534400 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 70534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88963056).

70534400 is an abundant number, since it is smaller than the sum of its proper divisors (107391712).

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

70534400 is a wasteful number, since it uses less digits than its factorization.

70534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 70534400 is about 8398.4760522371. The cubic root of 70534400 is about 413.1746413586.

Adding to 70534400 its reverse (443507), we get a palindrome (70977907).

The spelling of 70534400 in words is "seventy million, five hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 103 107 128 160 200 206 214 256 320 400 412 428 515 535 640 800 824 856 1030 1070 1280 1600 1648 1712 2060 2140 2575 2675 3200 3296 3424 4120 4280 5150 5350 6400 6592 6848 8240 8560 10300 10700 11021 13184 13696 16480 17120 20600 21400 22042 26368 27392 32960 34240 41200 42800 44084 55105 65920 68480 82400 85600 88168 110210 131840 136960 164800 171200 176336 220420 275525 329600 342400 352672 440840 551050 659200 684800 705344 881680 1102100 1410688 1763360 2204200 2821376 3526720 4408400 7053440 8816800 14106880 17633600 35267200 70534400