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979968348 = 2233291392251
BaseRepresentation
bin111010011010010…
…010000101011100
32112021222112212000
4322122102011130
54001332441343
6241124042300
733166410402
oct7232220534
92467875760
10979968348
114631917a7
12234233390
13128045538
1494215472
155b075ed3
hex3a69215c

979968348 has 96 divisors (see below), whose sum is σ = 2648352000. Its totient is φ = 312984000.

The previous prime is 979968343. The next prime is 979968389. The reversal of 979968348 is 843869979.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (979968343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434223 + ... + 436473.

It is an arithmetic number, because the mean of its divisors is an integer number (27587000).

Almost surely, 2979968348 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 979968348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324176000).

979968348 is an abundant number, since it is smaller than the sum of its proper divisors (1668383652).

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

979968348 is a wasteful number, since it uses less digits than its factorization.

979968348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2424 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The square root of 979968348 is about 31304.4461378891. The cubic root of 979968348 is about 993.2776945349.

The spelling of 979968348 in words is "nine hundred seventy-nine million, nine hundred sixty-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 139 174 261 278 348 417 522 556 783 834 1044 1251 1566 1668 2251 2502 3132 3753 4031 4502 5004 6753 7506 8062 9004 12093 13506 15012 16124 20259 24186 27012 36279 40518 48372 60777 65279 72558 81036 108837 121554 130558 145116 195837 217674 243108 261116 312889 391674 435348 587511 625778 783348 938667 1175022 1251556 1762533 1877334 2350044 2816001 3525066 3754668 5632002 7050132 8448003 9073781 11264004 16896006 18147562 27221343 33792012 36295124 54442686 81664029 108885372 163328058 244992087 326656116 489984174 979968348