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980350644 = 2237213277463
BaseRepresentation
bin111010011011101…
…111011010110100
32112022200222021010
4322123233122310
54001432210034
6241140152220
733202562100
oct7233573264
92468628233
10980350644
11463422a49
12234398670
1312814a550
14942b4900
155b0ee3e9
hex3a6ef6b4

980350644 has 144 divisors (see below), whose sum is σ = 2882197248. Its totient is φ = 257064192.

The previous prime is 980350627. The next prime is 980350663. The reversal of 980350644 is 446053089.

It is a super-2 number, since 2×9803506442 = 1922174770382429472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2117157 + ... + 2117619.

Almost surely, 2980350644 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 980350644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441098624).

980350644 is an abundant number, since it is smaller than the sum of its proper divisors (1901846604).

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

980350644 is a wasteful number, since it uses less digits than its factorization.

980350644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 980350644 is about 31310.5516399823. The cubic root of 980350644 is about 993.4068404481.

The spelling of 980350644 in words is "nine hundred eighty million, three hundred fifty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 277 294 364 463 546 554 588 637 831 926 1092 1108 1274 1389 1662 1852 1911 1939 2548 2778 3241 3324 3601 3822 3878 5556 5817 6019 6482 7202 7644 7756 9723 10803 11634 12038 12964 13573 14404 18057 19446 21606 22687 23268 24076 25207 27146 36114 38892 40719 42133 43212 45374 50414 54292 68061 72228 75621 81438 84266 90748 100828 126399 128251 136122 151242 162876 168532 176449 252798 256502 272244 294931 302484 352898 384753 505596 513004 529347 589862 705796 769506 884793 897757 1058694 1179724 1539012 1667263 1769586 1795514 2117388 2693271 3334526 3539172 3591028 5001789 5386542 6284299 6669052 10003578 10773084 11670841 12568598 18852897 20007156 23341682 25137196 35012523 37705794 46683364 70025046 75411588 81695887 140050092 163391774 245087661 326783548 490175322 980350644