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3830814 = 2341317107
BaseRepresentation
bin1110100111010000011110
321012121220000
432213100132
51440041224
6214035130
744363361
oct16472036
97177800
103830814
112187169
121348aa6
13a41870
1471a0d8
1550a0c9
hex3a741e

3830814 has 80 divisors (see below), whose sum is σ = 9879408. Its totient is φ = 1099008.

The previous prime is 3830803. The next prime is 3830819. The reversal of 3830814 is 4180383.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3830819) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35749 + ... + 35855.

Almost surely, 23830814 is an apocalyptic number.

3830814 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3830814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939704).

3830814 is an abundant number, since it is smaller than the sum of its proper divisors (6048594).

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

3830814 is a wasteful number, since it uses less digits than its factorization.

3830814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3830814 is about 1957.2465353143. The cubic root of 3830814 is about 156.4697379792.

The spelling of 3830814 in words is "three million, eight hundred thirty thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 107 117 153 162 214 221 234 306 321 351 442 459 642 663 702 918 963 1053 1326 1377 1391 1819 1926 1989 2106 2754 2782 2889 3638 3978 4173 5457 5778 5967 8346 8667 10914 11934 12519 16371 17334 17901 23647 25038 32742 35802 37557 47294 49113 70941 75114 98226 112671 141882 147339 212823 225342 294678 425646 638469 1276938 1915407 3830814