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70534800 = 2434527311
BaseRepresentation
bin1000011010001…
…00011010010000
311220201112120000
410031010122100
5121024103200
610555450000
71514351550
oct415043220
9156645500
1070534800
11368a6926
121b756900
13117c808b
149521160
1562d4300
hex4344690

70534800 has 300 divisors, whose sum is σ = 290237376. Its totient is φ = 16070400.

The previous prime is 70534781. The next prime is 70534817. The reversal of 70534800 is 843507.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×705348002 = 9950316022080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 226645 + ... + 226955.

Almost surely, 270534800 is an apocalyptic number.

70534800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70534800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145118688).

70534800 is an abundant number, since it is smaller than the sum of its proper divisors (219702576).

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

70534800 is a wasteful number, since it uses less digits than its factorization.

70534800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 70534800 is about 8398.4998660475. The cubic root of 70534800 is about 413.1754223937.

The spelling of 70534800 in words is "seventy million, five hundred thirty-four thousand, eight hundred".