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3938940 = 2232579277
BaseRepresentation
bin1111000001101001111100
321102010012200
433001221330
52002021230
6220231500
745323535
oct17015174
97363180
103938940
112250425
12139b590
13a7bb45
1474768c
1552c160
hex3c1a7c

3938940 has 72 divisors (see below), whose sum is σ = 12143040. Its totient is φ = 1033344.

The previous prime is 3938939. The next prime is 3938941. The reversal of 3938940 is 498393.

It is an interprime number because it is at equal distance from previous prime (3938939) and next prime (3938941).

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

It is a junction number, because it is equal to n+sod(n) for n = 3938895 and 3938904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3938941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14082 + ... + 14358.

Almost surely, 23938940 is an apocalyptic number.

3938940 is a gapful number since it is divisible by the number (30) 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 3938940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071520).

3938940 is an abundant number, since it is smaller than the sum of its proper divisors (8204100).

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

3938940 is a wasteful number, since it uses less digits than its factorization.

3938940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3938940 is about 1984.6762960241. The cubic root of 3938940 is about 157.9282374531.

The spelling of 3938940 in words is "three million, nine hundred thirty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 277 316 395 474 554 711 790 831 948 1108 1185 1385 1422 1580 1662 2370 2493 2770 2844 3324 3555 4155 4740 4986 5540 7110 8310 9972 12465 14220 16620 21883 24930 43766 49860 65649 87532 109415 131298 196947 218830 262596 328245 393894 437660 656490 787788 984735 1312980 1969470 3938940