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69834072 = 233711233153
BaseRepresentation
bin1000010100110…
…01010101011000
311212101221100010
410022121111120
5120334142242
610532441520
71505402610
oct412312530
9155357303
1069834072
1136468410
121b4792a0
1311611149
1493bba40
1561e689c
hex4299558

69834072 has 256 divisors, whose sum is σ = 238878720. Its totient is φ = 16473600.

The previous prime is 69834067. The next prime is 69834073. The reversal of 69834072 is 27043896.

It is a super-2 number, since 2×698340722 = 9753595224202368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 69834072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69834073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1317598 + ... + 1317650.

It is an arithmetic number, because the mean of its divisors is an integer number (933120).

Almost surely, 269834072 is an apocalyptic number.

69834072 is a gapful number since it is divisible by the number (62) 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 69834072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119439360).

69834072 is an abundant number, since it is smaller than the sum of its proper divisors (169044648).

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

69834072 is a wasteful number, since it uses less digits than its factorization.

69834072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 69834072 is about 8356.6782874537. The cubic root of 69834072 is about 411.8026358561.

The spelling of 69834072 in words is "sixty-nine million, eight hundred thirty-four thousand, seventy-two".