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3954096 = 2437113
BaseRepresentation
bin1111000101010110110000
321102220000000
433011112300
52003012341
6220430000
745415656
oct17052660
97386000
103954096
112260853
1213a8300
13a85a03
1474cdd6
155318b6
hex3c55b0

3954096 has 80 divisors (see below), whose sum is σ = 11591520. Its totient is φ = 1306368.

The previous prime is 3954077. The next prime is 3954101. The reversal of 3954096 is 6904593.

3954096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 310 + 92 + 59 + 49 + 0 + 92 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 3954096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34936 + ... + 35048.

It is an arithmetic number, because the mean of its divisors is an integer number (144894).

Almost surely, 23954096 is an apocalyptic number.

3954096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3954096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5795760).

3954096 is an abundant number, since it is smaller than the sum of its proper divisors (7637424).

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

3954096 is an equidigital number, since it uses as much as digits as its factorization.

3954096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3954096 is about 1988.4908850684. The cubic root of 3954096 is about 158.1305335855.

The spelling of 3954096 in words is "three million, nine hundred fifty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 113 144 162 216 226 243 324 339 432 452 486 648 678 729 904 972 1017 1296 1356 1458 1808 1944 2034 2187 2712 2916 3051 3888 4068 4374 5424 5832 6102 8136 8748 9153 11664 12204 16272 17496 18306 24408 27459 34992 36612 48816 54918 73224 82377 109836 146448 164754 219672 247131 329508 439344 494262 659016 988524 1318032 1977048 3954096