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3714040 = 2351123367
BaseRepresentation
bin1110001010101111111000
320222200201001
432022233320
51422322130
6211334344
743366051
oct16125770
96880631
103714040
112107460
1212b13b4
13a00675
146c9728
154d56ca
hex38abf8

3714040 has 64 divisors (see below), whose sum is σ = 9538560. Its totient is φ = 1288320.

The previous prime is 3714037. The next prime is 3714043. The reversal of 3714040 is 404173.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3714037) and next prime (3714043).

It is a junction number, because it is equal to n+sod(n) for n = 3713999 and 3714017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3714043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9937 + ... + 10303.

It is an arithmetic number, because the mean of its divisors is an integer number (149040).

Almost surely, 23714040 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 3714040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769280).

3714040 is an abundant number, since it is smaller than the sum of its proper divisors (5824520).

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

3714040 is a wasteful number, since it uses less digits than its factorization.

3714040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 3714040 is about 1927.1844748233. The cubic root of 3714040 is about 154.8634246130.

The spelling of 3714040 in words is "three million, seven hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 367 440 460 506 734 920 1012 1265 1468 1835 2024 2530 2936 3670 4037 5060 7340 8074 8441 10120 14680 16148 16882 20185 32296 33764 40370 42205 67528 80740 84410 92851 161480 168820 185702 337640 371404 464255 742808 928510 1857020 3714040