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2164734 = 2321113292
BaseRepresentation
bin1000010000011111111110
311001222110100
420100133332
51023232414
6114221530
724254115
oct10203776
94058410
102164734
111249440
128848a6
135aa410
14404c7c
152cb609
hex2107fe

2164734 has 72 divisors (see below), whose sum is σ = 5706792. Its totient is φ = 584640.

The previous prime is 2164681. The next prime is 2164739. The reversal of 2164734 is 4374612.

It is a junction number, because it is equal to n+sod(n) for n = 2164698 and 2164707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164739) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74632 + ... + 74660.

It is an arithmetic number, because the mean of its divisors is an integer number (79261).

22164734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853396).

2164734 is an abundant number, since it is smaller than the sum of its proper divisors (3542058).

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

2164734 is a wasteful number, since it uses less digits than its factorization.

2164734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 2164734 is about 1471.3035037000. The cubic root of 2164734 is about 129.3604485489.

It can be divided in two parts, 216 and 4734, that added together give a triangular number (4950 = T99).

The spelling of 2164734 in words is "two million, one hundred sixty-four thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 29 33 39 58 66 78 87 99 117 143 174 198 234 261 286 319 377 429 522 638 754 841 858 957 1131 1287 1682 1914 2262 2523 2574 2871 3393 4147 5046 5742 6786 7569 8294 9251 10933 12441 15138 18502 21866 24882 27753 32799 37323 55506 65598 74646 83259 98397 120263 166518 196794 240526 360789 721578 1082367 2164734