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2034032 = 2471113127
BaseRepresentation
bin111110000100101110000
310211100011112
413300211300
51010042112
6111332452
723201060
oct7604560
93740145
102034032
11116a220
12821128
13562a90
143ad3a0
152a2a22
hex1f0970

2034032 has 80 divisors (see below), whose sum is σ = 5332992. Its totient is φ = 725760.

The previous prime is 2034023. The next prime is 2034041. The reversal of 2034032 is 2304302.

2034032 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (2034023) and next prime (2034041).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2033998 and 2034016.

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, 15953 + ... + 16079.

22034032 is an apocalyptic number.

2034032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666496).

2034032 is an abundant number, since it is smaller than the sum of its proper divisors (3298960).

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

2034032 is a wasteful number, since it uses less digits than its factorization.

2034032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2034032 is about 1426.1949375874. The cubic root of 2034032 is about 126.7027167319.

Adding to 2034032 its reverse (2304302), we get a palindrome (4338334).

The spelling of 2034032 in words is "two million, thirty-four thousand, thirty-two", and thus it is an eban number.

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 127 143 154 176 182 208 254 286 308 364 508 572 616 728 889 1001 1016 1144 1232 1397 1456 1651 1778 2002 2032 2288 2794 3302 3556 4004 5588 6604 7112 8008 9779 11176 11557 13208 14224 16016 18161 19558 22352 23114 26416 36322 39116 46228 72644 78232 92456 127127 145288 156464 184912 254254 290576 508508 1017016 2034032