Search a number
-
+
70348128 = 2534161293
BaseRepresentation
bin1000011000101…
…10110101100000
311220101001111020
410030112311200
5121002120003
610551445440
71512643404
oct414266540
9156331436
1070348128
1136789654
121b686880
1311761116
1494b3104
156298d53
hex4316d60

70348128 has 96 divisors (see below), whose sum is σ = 192925152. Its totient is φ = 22425600.

The previous prime is 70348093. The next prime is 70348133. The reversal of 70348128 is 82184307.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×703481282 = 9897718226208768, which contains 22 as substring.

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, 239950 + ... + 240242.

It is an arithmetic number, because the mean of its divisors is an integer number (2009637).

Almost surely, 270348128 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 70348128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96462576).

70348128 is an abundant number, since it is smaller than the sum of its proper divisors (122577024).

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

70348128 is a wasteful number, since it uses less digits than its factorization.

70348128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 70348128 is about 8387.3790900376. The cubic root of 70348128 is about 412.8106075635.

The spelling of 70348128 in words is "seventy million, three hundred forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 61 82 96 122 123 164 183 244 246 293 328 366 488 492 586 656 732 879 976 984 1172 1312 1464 1758 1952 1968 2344 2501 2928 3516 3936 4688 5002 5856 7032 7503 9376 10004 12013 14064 15006 17873 20008 24026 28128 30012 35746 36039 40016 48052 53619 60024 71492 72078 80032 96104 107238 120048 142984 144156 192208 214476 240096 285968 288312 384416 428952 571936 576624 732793 857904 1153248 1465586 1715808 2198379 2931172 4396758 5862344 8793516 11724688 17587032 23449376 35174064 70348128