Search a number
-
+
914006604 = 2237231411223
BaseRepresentation
bin110110011110101…
…010001001001100
32100200212100100110
4312132222021030
53332441202404
6230410200020
731435633200
oct6636521114
92320770313
10914006604
11429a29765
12216123010
1311748bb14
1489564b00
1555396b89
hex367aa24c

914006604 has 144 divisors (see below), whose sum is σ = 2625509376. Its totient is φ = 246355200.

The previous prime is 914006579. The next prime is 914006617. The reversal of 914006604 is 406600419.

914006604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9140066042 = 1670816144311225632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 746737 + ... + 747959.

It is an arithmetic number, because the mean of its divisors is an integer number (18232704).

Almost surely, 2914006604 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 914006604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312754688).

914006604 is an abundant number, since it is smaller than the sum of its proper divisors (1711502772).

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

914006604 is a wasteful number, since it uses less digits than its factorization.

914006604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 914006604 is about 30232.5421359171. The cubic root of 914006604 is about 970.4722269351.

The spelling of 914006604 in words is "nine hundred fourteen million, six thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 41 42 49 62 82 84 93 98 123 124 147 164 186 196 217 246 287 294 372 434 492 574 588 651 861 868 1148 1223 1271 1302 1519 1722 2009 2446 2542 2604 3038 3444 3669 3813 4018 4557 4892 5084 6027 6076 7338 7626 8036 8561 8897 9114 12054 14676 15252 17122 17794 18228 24108 25683 26691 34244 35588 37913 50143 51366 53382 59927 62279 75826 100286 102732 106764 113739 119854 124558 150429 151652 179781 186837 200572 227478 239708 249116 265391 300858 351001 359562 373674 454956 530782 601716 702002 719124 747348 796173 1053003 1061564 1404004 1554433 1592346 1857737 2106006 2457007 3108866 3184692 3715474 4212012 4663299 4914014 5573211 6217732 7371021 7430948 9326598 9828028 10881031 11146422 14742042 18653196 21762062 22292844 29484084 32643093 43524124 65286186 76167217 130572372 152334434 228501651 304668868 457003302 914006604