Search a number
-
+
341211348 = 22321923341
BaseRepresentation
bin10100010101100…
…111100011010100
3212210001022222100
4110111213203110
51144322230343
653505202100
711312151162
oct2425474324
9783038870
10341211348
11165672155
1296330330
13558c9b0a
1433460232
151ee4e9d3
hex145678d4

341211348 has 144 divisors (see below), whose sum is σ = 972316800. Its totient is φ = 100552320.

The previous prime is 341211347. The next prime is 341211359. The reversal of 341211348 is 843112143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341211347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8322208 + ... + 8322248.

It is an arithmetic number, because the mean of its divisors is an integer number (6752200).

Almost surely, 2341211348 is an apocalyptic number.

341211348 is a gapful number since it is divisible by the number (38) 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 341211348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486158400).

341211348 is an abundant number, since it is smaller than the sum of its proper divisors (631105452).

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

341211348 is a wasteful number, since it uses less digits than its factorization.

341211348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 88 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 341211348 is about 18471.9069941357. The cubic root of 341211348 is about 698.7811087412.

The spelling of 341211348 in words is "three hundred forty-one million, two hundred eleven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 41 46 57 69 76 82 92 114 123 138 164 171 207 228 246 276 342 369 414 437 492 529 684 738 779 828 874 943 1058 1311 1476 1558 1587 1748 1886 2116 2337 2622 2829 3116 3174 3772 3933 4674 4761 5244 5658 6348 7011 7866 8487 9348 9522 10051 11316 12167 14022 15732 16974 17917 19044 20102 21689 24334 28044 30153 33948 35834 36501 40204 43378 48668 53751 60306 65067 71668 73002 86756 90459 107502 109503 120612 130134 146004 161253 180918 195201 215004 219006 231173 260268 322506 361836 390402 412091 438012 462346 498847 645012 693519 780804 824182 924692 997694 1236273 1387038 1496541 1648364 1995388 2080557 2472546 2774076 2993082 3708819 4161114 4489623 4945092 5986164 7417638 8322228 8979246 9478093 14835276 17958492 18956186 28434279 37912372 56868558 85302837 113737116 170605674 341211348