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3145296 = 2437112337
BaseRepresentation
bin1011111111111001010000
312220210112110
423333321100
51301122141
6151225320
735506650
oct13777120
95823473
103145296
111859120
121078240
1386182b
145bc360
15421e16
hex2ffe50

3145296 has 160 divisors (see below), whose sum is σ = 10856448. Its totient is φ = 760320.

The previous prime is 3145283. The next prime is 3145297. The reversal of 3145296 is 6925413.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84990 + ... + 85026.

Almost surely, 23145296 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 3145296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428224).

3145296 is an abundant number, since it is smaller than the sum of its proper divisors (7711152).

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

3145296 is a wasteful number, since it uses less digits than its factorization.

3145296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 83 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 3145296 is about 1773.4982379467. The cubic root of 3145296 is about 146.5167154298.

The spelling of 3145296 in words is "three million, one hundred forty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 23 24 28 33 37 42 44 46 48 56 66 69 74 77 84 88 92 111 112 132 138 148 154 161 168 176 184 222 231 253 259 264 276 296 308 322 336 368 407 444 462 483 506 518 528 552 592 616 644 759 777 814 851 888 924 966 1012 1036 1104 1221 1232 1288 1518 1554 1628 1702 1771 1776 1848 1932 2024 2072 2442 2553 2576 2849 3036 3108 3256 3404 3542 3696 3864 4048 4144 4884 5106 5313 5698 5957 6072 6216 6512 6808 7084 7728 8547 9361 9768 10212 10626 11396 11914 12144 12432 13616 14168 17094 17871 18722 19536 20424 21252 22792 23828 28083 28336 34188 35742 37444 40848 42504 45584 47656 56166 65527 68376 71484 74888 85008 95312 112332 131054 136752 142968 149776 196581 224664 262108 285936 393162 449328 524216 786324 1048432 1572648 3145296