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3919104 = 28377
BaseRepresentation
bin1110111100110100000000
321101010000000
432330310000
52000402404
6220000000
745211650
oct16746400
97333000
103919104
112237532
121390000
13a72ac7
14740360
15526339
hex3bcd00

3919104 has 144 divisors (see below), whose sum is σ = 13408640. Its totient is φ = 1119744.

The previous prime is 3919099. The next prime is 3919109. The reversal of 3919104 is 4019193.

It is an interprime number because it is at equal distance from previous prime (3919099) and next prime (3919109).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×39191044 (a number of 27 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6 and base 9.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3919109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559869 + ... + 559875.

Almost surely, 23919104 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 3919104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6704320).

3919104 is an abundant number, since it is smaller than the sum of its proper divisors (9489536).

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

3919104 is an frugal number, since it uses more digits than its factorization.

3919104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 3919104 is about 1979.6727002209. The cubic root of 3919104 is about 157.6626890360.

The spelling of 3919104 in words is "three million, nine hundred nineteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 243 252 256 288 324 336 378 384 432 448 486 504 567 576 648 672 729 756 768 864 896 972 1008 1134 1152 1296 1344 1458 1512 1701 1728 1792 1944 2016 2187 2268 2304 2592 2688 2916 3024 3402 3456 3888 4032 4374 4536 5103 5184 5376 5832 6048 6804 6912 7776 8064 8748 9072 10206 10368 11664 12096 13608 15309 15552 16128 17496 18144 20412 20736 23328 24192 27216 30618 31104 34992 36288 40824 46656 48384 54432 61236 62208 69984 72576 81648 93312 108864 122472 139968 145152 163296 186624 217728 244944 279936 326592 435456 489888 559872 653184 979776 1306368 1959552 3919104