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3714880 = 265131947
BaseRepresentation
bin1110001010111101000000
320222201212011
432022331000
51422334010
6211342304
743401361
oct16127500
96881764
103714880
112108054
1212b1994
13a00b70
146c9b68
154d5a8a
hex38af40

3714880 has 112 divisors (see below), whose sum is σ = 10241280. Its totient is φ = 1271808.

The previous prime is 3714863. The next prime is 3714883. The reversal of 3714880 is 884173.

It is a happy number.

3714880 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3714883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79017 + ... + 79063.

It is an arithmetic number, because the mean of its divisors is an integer number (91440).

Almost surely, 23714880 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 3714880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120640).

3714880 is an abundant number, since it is smaller than the sum of its proper divisors (6526400).

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

3714880 is a wasteful number, since it uses less digits than its factorization.

3714880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 3714880 is about 1927.4023970100. The cubic root of 3714880 is about 154.8750988249.

The spelling of 3714880 in words is "three million, seven hundred fourteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 47 52 64 65 76 80 94 95 104 130 152 160 188 190 208 235 247 260 304 320 376 380 416 470 494 520 608 611 752 760 832 893 940 988 1040 1216 1222 1235 1504 1520 1786 1880 1976 2080 2444 2470 3008 3040 3055 3572 3760 3952 4160 4465 4888 4940 6080 6110 7144 7520 7904 8930 9776 9880 11609 12220 14288 15040 15808 17860 19552 19760 23218 24440 28576 35720 39104 39520 46436 48880 57152 58045 71440 79040 92872 97760 116090 142880 185744 195520 232180 285760 371488 464360 742976 928720 1857440 3714880