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980691328 = 2767173661
BaseRepresentation
bin111010011101000…
…010100110000000
32112100100021121001
4322131002212000
54002024110303
6241151341344
733205511251
oct7235024600
92470307531
10980691328
11463635a01
12234521854
13128239636
1494362b28
155b16a31d
hex3a742980

980691328 has 64 divisors (see below), whose sum is σ = 1997359920. Its totient is φ = 479508480.

The previous prime is 980691269. The next prime is 980691343. The reversal of 980691328 is 823196089.

980691328 is a nontrivial binomial coefficient, being equal to C(44288, 2).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1483318 + ... + 1483978.

Almost surely, 2980691328 is an apocalyptic number.

980691328 is the 44287-th triangular number and also the 22144-th hexagonal number.

980691328 is the 14763-rd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980691328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998679960).

980691328 is an abundant number, since it is smaller than the sum of its proper divisors (1016668592).

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

980691328 is a wasteful number, since it uses less digits than its factorization.

980691328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 980691328 is about 31315.9915698034. The cubic root of 980691328 is about 993.5219008509.

The spelling of 980691328 in words is "nine hundred eighty million, six hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 67 128 134 173 268 346 536 661 692 1072 1322 1384 2144 2644 2768 4288 5288 5536 8576 10576 11072 11591 21152 22144 23182 42304 44287 46364 84608 88574 92728 114353 177148 185456 228706 354296 370912 457412 708592 741824 914824 1417184 1483648 1829648 2834368 3659296 5668736 7318592 7661651 14637184 15323302 30646604 61293208 122586416 245172832 490345664 980691328