Search a number
-
+
70347472 = 24134173113
BaseRepresentation
bin1000011000101…
…10101011010000
311220101000120221
410030112223100
5121002104342
610551442424
71512641446
oct414265320
9156330527
1070347472
1136789108
121b686414
1311760a30
1494b2b96
156298a67
hex4316ad0

70347472 has 80 divisors (see below), whose sum is σ = 153771408. Its totient is φ = 30965760.

The previous prime is 70347449. The next prime is 70347517. The reversal of 70347472 is 27474307.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 34058896 + 36288576 = 5836^2 + 6024^2 .

It is an alternating number because its digits alternate between odd and even.

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 15 ways as a sum of consecutive naturals, for example, 622488 + ... + 622600.

Almost surely, 270347472 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 70347472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76885704).

70347472 is an abundant number, since it is smaller than the sum of its proper divisors (83423936).

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

70347472 is a wasteful number, since it uses less digits than its factorization.

70347472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 34.

The square root of 70347472 is about 8387.3399835705. The cubic root of 70347472 is about 412.8093243993.

The spelling of 70347472 in words is "seventy million, three hundred forty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 41 52 73 82 104 113 146 164 208 226 292 328 452 533 584 656 904 949 1066 1168 1469 1808 1898 2132 2938 2993 3796 4264 4633 5876 5986 7592 8249 8528 9266 11752 11972 15184 16498 18532 23504 23944 32996 37064 38909 47888 60229 65992 74128 77818 107237 120458 131984 155636 214474 240916 311272 338209 428948 481832 622544 676418 857896 963664 1352836 1715792 2705672 4396717 5411344 8793434 17586868 35173736 70347472