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70406336 = 26721113157
BaseRepresentation
bin1000011001001…
…01000011000000
311220111000100002
410030211003000
5121011000321
610553015132
71513305200
oct414450300
9156430302
1070406336
1136819360
121b6b44a8
1311781770
1494ca400
1562ab20b
hex43250c0

70406336 has 168 divisors, whose sum is σ = 192152016. Its totient is φ = 25159680.

The previous prime is 70406311. The next prime is 70406339. The reversal of 70406336 is 63360407.

It is a super-5 number, since 5×704063365 (a number of 40 digits) contains 55555 as substring.

70406336 is a modest number, since divided by 6336 gives 704 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 70406299 and 70406308.

It is not an unprimeable number, because it can be changed into a prime (70406339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448370 + ... + 448526.

It is an arithmetic number, because the mean of its divisors is an integer number (1143762).

Almost surely, 270406336 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 70406336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96076008).

70406336 is an abundant number, since it is smaller than the sum of its proper divisors (121745680).

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

70406336 is a wasteful number, since it uses less digits than its factorization.

70406336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 70406336 is about 8390.8483480516. The cubic root of 70406336 is about 412.9244331723.

The spelling of 70406336 in words is "seventy million, four hundred six thousand, three hundred thirty-six".