Search a number
-
+
348671872 = 272924179
BaseRepresentation
bin10100110010000…
…100111110000000
3220022002100220001
4110302010332000
51203224444442
654333125344
711432443033
oct2462047600
9808070801
10348671872
111698a837a
1298929854
135730c823
143444301a
15209252b7
hex14c84f80

348671872 has 96 divisors (see below), whose sum is σ = 746272800. Its totient is φ = 162140160.

The previous prime is 348671861. The next prime is 348671893. The reversal of 348671872 is 278176843.

Its product of digits (451584) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4413529 + ... + 4413607.

It is an arithmetic number, because the mean of its divisors is an integer number (7773675).

Almost surely, 2348671872 is an apocalyptic number.

348671872 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 348671872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373136400).

348671872 is an abundant number, since it is smaller than the sum of its proper divisors (397600928).

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

348671872 is an equidigital number, since it uses as much as digits as its factorization.

348671872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 151 counting only the distinct ones).

The product of its digits is 451584, while the sum is 46.

The square root of 348671872 is about 18672.7574824930. The cubic root of 348671872 is about 703.8373418976.

It can be divided in two parts, 348 and 671872, that added together give a triangular number (672220 = T1159).

The spelling of 348671872 in words is "three hundred forty-eight million, six hundred seventy-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 41 58 64 79 82 116 128 158 164 232 316 328 464 632 656 841 928 1189 1264 1312 1682 1856 2291 2378 2528 2624 3239 3364 3712 4582 4756 5056 5248 6478 6728 9164 9512 10112 12956 13456 18328 19024 25912 26912 34481 36656 38048 51824 53824 66439 68962 73312 76096 93931 103648 107648 132878 137924 146624 152192 187862 207296 265756 275848 293248 375724 414592 531512 551696 751448 1063024 1103392 1502896 2126048 2206784 2723999 3005792 4252096 4413568 5447998 6011584 8504192 10895996 12023168 21791992 43583984 87167968 174335936 348671872