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3979104 = 253181229
BaseRepresentation
bin1111001011011101100000
321111011022020
433023131200
52004312404
6221141440
745551613
oct17133540
97434266
103979104
112278618
1213ba880
13a941cc
1475817a
15538ed9
hex3cb760

3979104 has 48 divisors (see below), whose sum is σ = 10548720. Its totient is φ = 1313280.

The previous prime is 3979043. The next prime is 3979117. The reversal of 3979104 is 4019793.

It is a tau number, because it is divible by the number of its divisors (48).

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, 17262 + ... + 17490.

It is an arithmetic number, because the mean of its divisors is an integer number (219765).

Almost surely, 23979104 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 3979104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274360).

3979104 is an abundant number, since it is smaller than the sum of its proper divisors (6569616).

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

3979104 is a wasteful number, since it uses less digits than its factorization.

3979104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 3979104 is about 1994.7691595771. The cubic root of 3979104 is about 158.4632030201.

The spelling of 3979104 in words is "three million, nine hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 181 229 362 458 543 687 724 916 1086 1374 1448 1832 2172 2748 2896 3664 4344 5496 5792 7328 8688 10992 17376 21984 41449 82898 124347 165796 248694 331592 497388 663184 994776 1326368 1989552 3979104