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3740040 = 233353463
BaseRepresentation
bin1110010001000110001000
321001000101000
432101012020
51424140130
6212055000
743534623
oct16210610
97030330
103740040
112124a47
121304460
13a0c455
146d4dba
154dd260
hex391188

3740040 has 64 divisors (see below), whose sum is σ = 12470400. Its totient is φ = 997056.

The previous prime is 3740039. The next prime is 3740059. The reversal of 3740040 is 400473.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3739995 and 3740022.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652 + ... + 2811.

It is an arithmetic number, because the mean of its divisors is an integer number (194850).

Almost surely, 23740040 is an apocalyptic number.

3740040 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 3740040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6235200).

3740040 is an abundant number, since it is smaller than the sum of its proper divisors (8730360).

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

3740040 is a wasteful number, since it uses less digits than its factorization.

3740040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3740040 is about 1933.9183023075. The cubic root of 3740040 is about 155.2239565173.

The spelling of 3740040 in words is "three million, seven hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 3463 6926 10389 13852 17315 20778 27704 31167 34630 41556 51945 62334 69260 83112 93501 103890 124668 138520 155835 187002 207780 249336 311670 374004 415560 467505 623340 748008 935010 1246680 1870020 3740040