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2084376 = 233719653
BaseRepresentation
bin111111100111000011000
310220220020010
413330320120
51013200001
6112401520
723500620
oct7747030
93826203
102084376
1111a4028
128462a0
1357c978
143c3880
152b28d6
hex1fce18

2084376 has 64 divisors (see below), whose sum is σ = 6278400. Its totient is φ = 563328.

The previous prime is 2084359. The next prime is 2084389. The reversal of 2084376 is 6734802.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2866 + ... + 3518.

It is an arithmetic number, because the mean of its divisors is an integer number (98100).

22084376 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 2084376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139200).

2084376 is an abundant number, since it is smaller than the sum of its proper divisors (4194024).

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

2084376 is a wasteful number, since it uses less digits than its factorization.

2084376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2084376 is about 1443.7368181216. The cubic root of 2084376 is about 127.7395419867.

The spelling of 2084376 in words is "two million, eighty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 653 798 1064 1306 1596 1959 2612 3192 3918 4571 5224 7836 9142 12407 13713 15672 18284 24814 27426 36568 37221 49628 54852 74442 86849 99256 109704 148884 173698 260547 297768 347396 521094 694792 1042188 2084376