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348490072 = 23717261353
BaseRepresentation
bin10100110001011…
…000100101011000
3220021202010111201
4110301120211120
51203203140242
654325203544
711431055020
oct2461304530
9807663451
10348490072
11169793827
12988605b4
1357277b58
14343d6a80
15208db4b7
hex14c58958

348490072 has 96 divisors (see below), whose sum is σ = 808564320. Its totient is φ = 137871360.

The previous prime is 348490063. The next prime is 348490073. The reversal of 348490072 is 270094843.

It is a happy number.

348490072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348490073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 987048 + ... + 987400.

It is an arithmetic number, because the mean of its divisors is an integer number (8422545).

Almost surely, 2348490072 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 348490072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404282160).

348490072 is an abundant number, since it is smaller than the sum of its proper divisors (460074248).

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

348490072 is a wasteful number, since it uses less digits than its factorization.

348490072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 348490072 is about 18667.8887933264. Note that the first 3 decimals coincide. The cubic root of 348490072 is about 703.7149920277.

The spelling of 348490072 in words is "three hundred forty-eight million, four hundred ninety thousand, seventy-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 61 68 119 122 136 238 244 289 353 427 476 488 578 706 854 952 1037 1156 1412 1708 2023 2074 2312 2471 2824 3416 4046 4148 4942 6001 7259 8092 8296 9884 12002 14518 16184 17629 19768 21533 24004 29036 35258 42007 43066 48008 58072 70516 84014 86132 102017 123403 141032 150731 168028 172264 204034 246806 301462 336056 366061 408068 493612 602924 714119 732122 816136 987224 1205848 1428238 1464244 2562427 2856476 2928488 5124854 5712952 6223037 10249708 12446074 20499416 24892148 43561259 49784296 87122518 174245036 348490072