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2134008 = 2332107277
BaseRepresentation
bin1000001000111111111000
311000102022100
420020333320
51021242013
6113423400
724065412
oct10107770
94012270
102134008
111228348
1286ab60
13599436
143d79b2
152c2473
hex208ff8

2134008 has 48 divisors (see below), whose sum is σ = 5854680. Its totient is φ = 702144.

The previous prime is 2134007. The next prime is 2134019. The reversal of 2134008 is 8004312.

It is a happy number.

2134008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7566 + ... + 7842.

22134008 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 2134008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927340).

2134008 is an abundant number, since it is smaller than the sum of its proper divisors (3720672).

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

2134008 is a wasteful number, since it uses less digits than its factorization.

2134008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2134008 is about 1460.8244247684. The cubic root of 2134008 is about 128.7454870068.

The spelling of 2134008 in words is "two million, one hundred thirty-four thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 277 321 428 554 642 831 856 963 1108 1284 1662 1926 2216 2493 2568 3324 3852 4986 6648 7704 9972 19944 29639 59278 88917 118556 177834 237112 266751 355668 533502 711336 1067004 2134008