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3949344 = 25337653
BaseRepresentation
bin1111000100001100100000
321102122111000
433010030200
52002334334
6220352000
745366060
oct17041440
97378430
103949344
112258223
1213a5600
13a837b9
1474b3a0
15530299
hex3c4320

3949344 has 96 divisors (see below), whose sum is σ = 13184640. Its totient is φ = 1126656.

The previous prime is 3949339. The next prime is 3949349. The reversal of 3949344 is 4439493.

It is an interprime number because it is at equal distance from previous prime (3949339) and next prime (3949349).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3949299 and 3949308.

It is not an unprimeable number, because it can be changed into a prime (3949349) 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, 5722 + ... + 6374.

It is an arithmetic number, because the mean of its divisors is an integer number (137340).

Almost surely, 23949344 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 3949344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6592320).

3949344 is an abundant number, since it is smaller than the sum of its proper divisors (9235296).

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

3949344 is a wasteful number, since it uses less digits than its factorization.

3949344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 665 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3949344 is about 1987.2956498720. The cubic root of 3949344 is about 158.0671615345.

The spelling of 3949344 in words is "three million, nine hundred forty-nine thousand, three hundred forty-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 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 653 672 756 864 1008 1306 1512 1959 2016 2612 3024 3918 4571 5224 5877 6048 7836 9142 10448 11754 13713 15672 17631 18284 20896 23508 27426 31344 35262 36568 41139 47016 54852 62688 70524 73136 82278 94032 109704 123417 141048 146272 164556 188064 219408 246834 282096 329112 438816 493668 564192 658224 987336 1316448 1974672 3949344