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2293984 = 25731119
BaseRepresentation
bin1000110000000011100000
311022112202101
420300003200
51041401414
6121100144
725333000
oct10600340
94275671
102293984
111327560
12927654
136241b4
1443a000
15304a74
hex2300e0

2293984 has 96 divisors (see below), whose sum is σ = 6048000. Its totient is φ = 846720.

The previous prime is 2293981. The next prime is 2294009. The reversal of 2293984 is 4893922.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2293981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120727 + ... + 120745.

It is an arithmetic number, because the mean of its divisors is an integer number (63000).

22293984 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 2293984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024000).

2293984 is an abundant number, since it is smaller than the sum of its proper divisors (3754016).

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

2293984 is a wasteful number, since it uses less digits than its factorization.

2293984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 39 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 2293984 is about 1514.5903736654. The cubic root of 2293984 is about 131.8854224597.

The spelling of 2293984 in words is "two million, two hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 49 56 76 77 88 98 112 133 152 154 176 196 209 224 266 304 308 343 352 392 418 532 539 608 616 686 784 836 931 1064 1078 1232 1372 1463 1568 1672 1862 2128 2156 2464 2744 2926 3344 3724 3773 4256 4312 5488 5852 6517 6688 7448 7546 8624 10241 10976 11704 13034 14896 15092 17248 20482 23408 26068 29792 30184 40964 46816 52136 60368 71687 81928 104272 120736 143374 163856 208544 286748 327712 573496 1146992 2293984