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3293472 = 253713229
BaseRepresentation
bin1100100100000100100000
320012022210110
430210010200
51320342342
6154331320
736664650
oct14440440
96168713
103293472
11194a486
121129b40
138b4100
1461a360
15450c9c
hex324120

3293472 has 144 divisors (see below), whose sum is σ = 11067840. Its totient is φ = 838656.

The previous prime is 3293453. The next prime is 3293497. The reversal of 3293472 is 2743923.

It is a d-powerful number, because it can be written as 33 + 211 + 94 + 313 + 410 + 76 + 219 .

Its product of digits (9072) is a multiple of the sum of its prime divisors (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113554 + ... + 113582.

It is an arithmetic number, because the mean of its divisors is an integer number (76860).

Almost surely, 23293472 is an apocalyptic number.

3293472 is a gapful number since it is divisible by the number (32) 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 3293472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533920).

3293472 is an abundant number, since it is smaller than the sum of its proper divisors (7774368).

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

3293472 is a wasteful number, since it uses less digits than its factorization.

3293472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 54 counting only the distinct ones).

The product of its digits is 9072, while the sum is 30.

The square root of 3293472 is about 1814.7925501280. The cubic root of 3293472 is about 148.7823195550.

The spelling of 3293472 in words is "three million, two hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 29 32 39 42 48 52 56 58 78 84 87 91 96 104 112 116 156 168 169 174 182 203 208 224 232 273 312 336 338 348 364 377 406 416 464 507 546 609 624 672 676 696 728 754 812 928 1014 1092 1131 1183 1218 1248 1352 1392 1456 1508 1624 2028 2184 2262 2366 2436 2639 2704 2784 2912 3016 3248 3549 4056 4368 4524 4732 4872 4901 5278 5408 6032 6496 7098 7917 8112 8736 9048 9464 9744 9802 10556 12064 14196 14703 15834 16224 18096 18928 19488 19604 21112 28392 29406 31668 34307 36192 37856 39208 42224 56784 58812 63336 68614 78416 84448 102921 113568 117624 126672 137228 156832 205842 235248 253344 274456 411684 470496 548912 823368 1097824 1646736 3293472