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70368336 = 24321074567
BaseRepresentation
bin1000011000110…
…11110001010000
311220102002012200
410030123301100
5121003241321
610552123200
71513056333
oct414336120
9156362180
1070368336
11367a2855
121b696500
131176a38c
1494ba61a
15629ed26
hex431bc50

70368336 has 60 divisors (see below), whose sum is σ = 198817632. Its totient is φ = 23231808.

The previous prime is 70368323. The next prime is 70368383. The reversal of 70368336 is 63386307.

It is a super-2 number, since 2×703683362 = 9903405422817792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 70368336.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13125 + ... + 17691.

Almost surely, 270368336 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 70368336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99408816).

70368336 is an abundant number, since it is smaller than the sum of its proper divisors (128449296).

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

70368336 is a wasteful number, since it uses less digits than its factorization.

70368336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 70368336 is about 8388.5836706801. The cubic root of 70368336 is about 412.8501313734.

The spelling of 70368336 in words is "seventy million, three hundred sixty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2568 3852 4567 5136 7704 9134 13701 15408 18268 27402 36536 41103 54804 73072 82206 109608 164412 219216 328824 488669 657648 977338 1466007 1954676 2932014 3909352 4398021 5864028 7818704 8796042 11728056 17592084 23456112 35184168 70368336