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2923668 = 22331123107
BaseRepresentation
bin1011001001110010010100
312111112112000
423021302110
51222024133
6142355300
733564546
oct13116224
95445460
102923668
111717660
12b8bb30
137b49a7
14561696
153cb413
hex2c9c94

2923668 has 96 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 839520.

The previous prime is 2923651. The next prime is 2923727. The reversal of 2923668 is 8663292.

2923668 is a `hidden beast` number, since 292 + 366 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 22 + 93 + 220 + 313 + 62 + 67 + 82 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27271 + ... + 27377.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

22923668 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 2923668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

2923668 is an abundant number, since it is smaller than the sum of its proper divisors (5785452).

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

2923668 is a wasteful number, since it uses less digits than its factorization.

2923668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2923668 is about 1709.8736795448. The cubic root of 2923668 is about 142.9912133744.

The spelling of 2923668 in words is "two million, nine hundred twenty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 92 99 107 108 132 138 198 207 214 253 276 297 321 396 414 428 506 594 621 642 759 828 963 1012 1177 1188 1242 1284 1518 1926 2277 2354 2461 2484 2889 3036 3531 3852 4554 4708 4922 5778 6831 7062 7383 9108 9844 10593 11556 13662 14124 14766 21186 22149 27071 27324 29532 31779 42372 44298 54142 63558 66447 81213 88596 108284 127116 132894 162426 243639 265788 324852 487278 730917 974556 1461834 2923668