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348027516 = 223641271
BaseRepresentation
bin10100101111100…
…111101001111100
3220020212122000000
4110233213221330
51203043340031
654311234300
711424120324
oct2457475174
9806778000
10348027516
111694a8251
1298678990
1357145455
1434316284
15208493e6
hex14be7a7c

348027516 has 126 divisors (see below), whose sum is σ = 949152456. Its totient is φ = 111585600.

The previous prime is 348027481. The next prime is 348027523. The reversal of 348027516 is 615720843.

It is a super-2 number, since 2×3480275162 = 242246303786260512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4901761 + ... + 4901831.

It is an arithmetic number, because the mean of its divisors is an integer number (7532956).

Almost surely, 2348027516 is an apocalyptic number.

348027516 is a gapful number since it is divisible by the number (36) 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 348027516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474576228).

348027516 is an abundant number, since it is smaller than the sum of its proper divisors (601124940).

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

348027516 is an equidigital number, since it uses as much as digits as its factorization.

348027516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 348027516 is about 18655.4955978125. The cubic root of 348027516 is about 703.4035037517.

The spelling of 348027516 in words is "three hundred forty-eight million, twenty-seven thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 71 81 82 108 123 142 162 164 213 243 246 284 324 369 426 486 492 639 729 738 852 972 1107 1278 1458 1476 1681 1917 2214 2556 2911 2916 3321 3362 3834 4428 5043 5751 5822 6642 6724 7668 8733 9963 10086 11502 11644 13284 15129 17253 17466 19926 20172 23004 26199 29889 30258 34506 34932 39852 45387 51759 52398 59778 60516 69012 78597 90774 103518 104796 119351 119556 136161 157194 181548 207036 235791 238702 272322 314388 358053 408483 471582 477404 544644 707373 716106 816966 943164 1074159 1225449 1414746 1432212 1633932 2122119 2148318 2450898 2829492 3222477 4244238 4296636 4901796 6444954 8488476 9667431 12889908 19334862 29002293 38669724 58004586 87006879 116009172 174013758 348027516