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3814720 = 265713131
BaseRepresentation
bin1110100011010101000000
321011210210221
432203111000
51434032340
6213432424
744265430
oct16432500
97153727
103814720
112176068
12133b714
13a37440
147142c0
1550544a
hex3a3540

3814720 has 112 divisors (see below), whose sum is σ = 11265408. Its totient is φ = 1198080.

The previous prime is 3814717. The next prime is 3814721. The reversal of 3814720 is 274183.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3814721) 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, 29055 + ... + 29185.

It is an arithmetic number, because the mean of its divisors is an integer number (100584).

Almost surely, 23814720 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 3814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632704).

3814720 is an abundant number, since it is smaller than the sum of its proper divisors (7450688).

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

3814720 is a wasteful number, since it uses less digits than its factorization.

3814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 3814720 is about 1953.1308199913. The cubic root of 3814720 is about 156.2503103994.

The spelling of 3814720 in words is "three million, eight hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 131 140 160 182 208 224 260 262 280 320 364 416 448 455 520 524 560 655 728 832 910 917 1040 1048 1120 1310 1456 1703 1820 1834 2080 2096 2240 2620 2912 3406 3640 3668 4160 4192 4585 5240 5824 6812 7280 7336 8384 8515 9170 10480 11921 13624 14560 14672 17030 18340 20960 23842 27248 29120 29344 34060 36680 41920 47684 54496 58688 59605 68120 73360 95368 108992 119210 136240 146720 190736 238420 272480 293440 381472 476840 544960 762944 953680 1907360 3814720