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3834880 = 21057107
BaseRepresentation
bin1110101000010000000000
321012211110121
432220100000
51440204010
6214110024
744411260
oct16502000
97184417
103834880
11218a225
12134b314
13a4367a
1471b7a0
1550b3da
hex3a8400

3834880 has 88 divisors (see below), whose sum is σ = 10611648. Its totient is φ = 1302528.

The previous prime is 3834851. The next prime is 3834893. The reversal of 3834880 is 884383.

It is a happy number.

It is a super-2 number, since 2×38348802 = 29412609228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35787 + ... + 35893.

Almost surely, 23834880 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 3834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5305824).

3834880 is an abundant number, since it is smaller than the sum of its proper divisors (6776768).

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

3834880 is a wasteful number, since it uses less digits than its factorization.

3834880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 3834880 is about 1958.2849639417. The cubic root of 3834880 is about 156.5250770446.

The spelling of 3834880 in words is "three million, eight hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 107 112 128 140 160 214 224 256 280 320 428 448 512 535 560 640 749 856 896 1024 1070 1120 1280 1498 1712 1792 2140 2240 2560 2996 3424 3584 3745 4280 4480 5120 5992 6848 7168 7490 8560 8960 11984 13696 14980 17120 17920 23968 27392 29960 34240 35840 47936 54784 59920 68480 95872 109568 119840 136960 191744 239680 273920 383488 479360 547840 766976 958720 1917440 3834880