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70303272 = 233132397101
BaseRepresentation
bin1000011000010…
…11111000101000
311220021202221220
410030023320220
5120444201042
610550502040
71512365544
oct414137050
9156252856
1070303272
1136758986
121b664920
1311746890
1494a0a24
15628a8ec
hex430be28

70303272 has 128 divisors (see below), whose sum is σ = 201519360. Its totient is φ = 20275200.

The previous prime is 70303271. The next prime is 70303273. The reversal of 70303272 is 27230307.

It is an interprime number because it is at equal distance from previous prime (70303271) and next prime (70303273).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (70303271) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 696022 + ... + 696122.

It is an arithmetic number, because the mean of its divisors is an integer number (1574370).

Almost surely, 270303272 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 70303272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100759680).

70303272 is an abundant number, since it is smaller than the sum of its proper divisors (131216088).

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

70303272 is a wasteful number, since it uses less digits than its factorization.

70303272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 24.

The square root of 70303272 is about 8384.7046459610. The cubic root of 70303272 is about 412.7228489161.

Adding to 70303272 its reverse (27230307), we get a palindrome (97533579).

The spelling of 70303272 in words is "seventy million, three hundred three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 97 101 104 138 156 184 194 202 276 291 299 303 312 388 404 552 582 598 606 776 808 897 1164 1196 1212 1261 1313 1794 2231 2323 2328 2392 2424 2522 2626 3588 3783 3939 4462 4646 5044 5252 6693 6969 7176 7566 7878 8924 9292 9797 10088 10504 13386 13938 15132 15756 17848 18584 19594 26772 27876 29003 29391 30199 30264 31512 39188 53544 55752 58006 58782 60398 78376 87009 90597 116012 117564 120796 127361 174018 181194 225331 232024 235128 241592 254722 348036 362388 382083 450662 509444 675993 696072 724776 764166 901324 1018888 1351986 1528332 1802648 2703972 2929303 3056664 5407944 5858606 8787909 11717212 17575818 23434424 35151636 70303272