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3949400 = 2352721331
BaseRepresentation
bin1111000100001101011000
321102122120002
433010031120
52002340100
6220352132
745366200
oct17041530
97378502
103949400
112258274
1213a5648
13a83830
1474b400
155302d5
hex3c4358

3949400 has 144 divisors (see below), whose sum is σ = 11874240. Its totient is φ = 1209600.

The previous prime is 3949391. The next prime is 3949409. The reversal of 3949400 is 49493.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3949391) and next prime (3949409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3949409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 127385 + ... + 127415.

It is an arithmetic number, because the mean of its divisors is an integer number (82460).

Almost surely, 23949400 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 3949400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937120).

3949400 is an abundant number, since it is smaller than the sum of its proper divisors (7924840).

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

3949400 is a wasteful number, since it uses less digits than its factorization.

3949400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 3949400 is about 1987.3097393210. The cubic root of 3949400 is about 158.0679086391.

The spelling of 3949400 in words is "three million, nine hundred forty-nine thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 31 35 40 49 50 52 56 62 65 70 91 98 100 104 124 130 140 155 175 182 196 200 217 245 248 260 280 310 325 350 364 392 403 434 455 490 520 620 637 650 700 728 775 806 868 910 980 1085 1225 1240 1274 1300 1400 1519 1550 1612 1736 1820 1960 2015 2170 2275 2450 2548 2600 2821 3038 3100 3185 3224 3640 4030 4340 4550 4900 5096 5425 5642 6076 6200 6370 7595 8060 8680 9100 9800 10075 10850 11284 12152 12740 14105 15190 15925 16120 18200 19747 20150 21700 22568 25480 28210 30380 31850 37975 39494 40300 43400 56420 60760 63700 70525 75950 78988 80600 98735 112840 127400 141050 151900 157976 197470 282100 303800 394940 493675 564200 789880 987350 1974700 3949400