Search a number
-
+
348041232 = 243371110463
BaseRepresentation
bin10100101111101…
…011000000010000
3220020220022211000
4110233223000100
51203044304412
654311422000
711424205320
oct2457530020
9806808730
10348041232
11169507590
1298684900
135714b776
143431b280
152084d4dc
hex14beb010

348041232 has 160 divisors (see below), whose sum is σ = 1245634560. Its totient is φ = 90391680.

The previous prime is 348041191. The next prime is 348041263. The reversal of 348041232 is 232140843.

It is a super-2 number, since 2×3480412322 = 242265398344155648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 348041196 and 348041205.

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, 28033 + ... + 38495.

It is an arithmetic number, because the mean of its divisors is an integer number (7785216).

Almost surely, 2348041232 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 348041232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622817280).

348041232 is an abundant number, since it is smaller than the sum of its proper divisors (897593328).

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

348041232 is a wasteful number, since it uses less digits than its factorization.

348041232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10498 (or 10486 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 348041232 is about 18655.8632070457. The cubic root of 348041232 is about 703.4127441664.

The spelling of 348041232 in words is "three hundred forty-eight million, forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4752 5544 8316 10463 11088 16632 20926 31389 33264 41852 62778 73241 83704 94167 115093 125556 146482 167408 188334 219723 230186 251112 282501 292964 345279 376668 439446 460372 502224 565002 585928 659169 690558 753336 805651 878892 920744 1035837 1130004 1171856 1318338 1381116 1506672 1611302 1757784 1841488 1977507 2071674 2260008 2416953 2636676 2762232 3107511 3222604 3515568 3955014 4143348 4520016 4833906 5273352 5524464 6215022 6445208 7250859 7910028 8286696 9667812 10546704 12430044 12890416 14501718 15820056 16573392 19335624 21752577 24860088 29003436 31640112 38671248 43505154 49720176 58006872 87010308 116013744 174020616 348041232