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3914040 = 2335132193
BaseRepresentation
bin1110111011100100111000
321100212001110
432323210320
52000222130
6215520320
745161124
oct16734470
97325043
103914040
112233749
1213890a0
13a70700
1473c584
15524ab0
hex3bb938

3914040 has 96 divisors (see below), whose sum is σ = 12780720. Its totient is φ = 958464.

The previous prime is 3914011. The next prime is 3914069. The reversal of 3914040 is 404193.

It is an interprime number because it is at equal distance from previous prime (3914011) and next prime (3914069).

It is a junction number, because it is equal to n+sod(n) for n = 3913998 and 3914016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20184 + ... + 20376.

Almost surely, 23914040 is an apocalyptic number.

3914040 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 3914040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390360).

3914040 is an abundant number, since it is smaller than the sum of its proper divisors (8866680).

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

3914040 is a wasteful number, since it uses less digits than its factorization.

3914040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3914040 is about 1978.3932874937. The cubic root of 3914040 is about 157.5947527606.

The spelling of 3914040 in words is "three million, nine hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 193 195 260 312 338 386 390 507 520 579 676 772 780 845 965 1014 1158 1352 1544 1560 1690 1930 2028 2316 2509 2535 2895 3380 3860 4056 4632 5018 5070 5790 6760 7527 7720 10036 10140 11580 12545 15054 20072 20280 23160 25090 30108 32617 37635 50180 60216 65234 75270 97851 100360 130468 150540 163085 195702 260936 301080 326170 391404 489255 652340 782808 978510 1304680 1957020 3914040