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348406116 = 223192329279
BaseRepresentation
bin10100110001000…
…100000101100100
3220021120212100020
4110301010011210
51203142443431
654323315140
711430255162
oct2461040544
9807525306
10348406116
11169736743
129881bab0
1357248886
14343b4232
15208c1696
hex14c44164

348406116 has 144 divisors (see below), whose sum is σ = 936499200. Its totient is φ = 100324224.

The previous prime is 348406099. The next prime is 348406127. The reversal of 348406116 is 611604843.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4410165 + ... + 4410243.

Almost surely, 2348406116 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 348406116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468249600).

348406116 is an abundant number, since it is smaller than the sum of its proper divisors (588093084).

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

348406116 is a wasteful number, since it uses less digits than its factorization.

348406116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 348406116 is about 18665.6399836705. The cubic root of 348406116 is about 703.6584759834.

The spelling of 348406116 in words is "three hundred forty-eight million, four hundred six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 19 23 29 38 46 57 58 69 76 79 87 92 114 116 138 158 174 228 237 276 316 348 437 474 551 667 841 874 948 1102 1311 1334 1501 1653 1682 1748 1817 2001 2204 2291 2523 2622 2668 3002 3306 3364 3634 4002 4503 4582 5046 5244 5451 6004 6612 6873 7268 8004 9006 9164 10092 10902 12673 13746 15979 18012 19343 21804 25346 27492 31958 34523 38019 38686 43529 47937 50692 52693 58029 63916 66439 69046 76038 77372 87058 95874 103569 105386 116058 130587 132878 138092 152076 158079 174116 191748 199317 207138 210772 232116 261174 265756 316158 367517 398634 414276 522348 632316 735034 797268 1001167 1102551 1262341 1470068 1528097 2002334 2205102 2524682 3003501 3056194 3787023 4004668 4410204 4584291 5049364 6007002 6112388 7574046 9168582 12014004 15148092 18337164 29033843 58067686 87101529 116135372 174203058 348406116