Search a number
-
+
70434672 = 243711171959
BaseRepresentation
bin1000011001010…
…11111101110000
311220112110012120
410030223331300
5121012402142
610553354240
71513453620
oct414537560
9156473176
1070434672
1136838680
121b708980
1311791629
1494d6880
1562b47ec
hex432bf70

70434672 has 320 divisors, whose sum is σ = 257126400. Its totient is φ = 16035840.

The previous prime is 70434667. The next prime is 70434677. The reversal of 70434672 is 27643407.

It is an interprime number because it is at equal distance from previous prime (70434667) and next prime (70434677).

It is a super-2 number, since 2×704346722 = 9922086039495168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70434677) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1193779 + ... + 1193837.

It is an arithmetic number, because the mean of its divisors is an integer number (803520).

Almost surely, 270434672 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 70434672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563200).

70434672 is an abundant number, since it is smaller than the sum of its proper divisors (186691728).

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

70434672 is a wasteful number, since it uses less digits than its factorization.

70434672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 70434672 is about 8392.5366844596. The cubic root of 70434672 is about 412.9798214516.

The spelling of 70434672 in words is "seventy million, four hundred thirty-four thousand, six hundred seventy-two".