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348689936 = 24723223607
BaseRepresentation
bin10100110010001…
…001011000010000
3220022010021200002
4110302021120100
51203231034221
654333345132
711432546510
oct2462113020
9808107602
10348689936
1116990aa01
12989381a8
1357317b0a
1434449840
152092a80b
hex14c89610

348689936 has 80 divisors (see below), whose sum is σ = 810614784. Its totient is φ = 142065792.

The previous prime is 348689927. The next prime is 348689981. The reversal of 348689936 is 639986843.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574145 + ... + 574751.

Almost surely, 2348689936 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 348689936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405307392).

348689936 is an abundant number, since it is smaller than the sum of its proper divisors (461924848).

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

348689936 is a wasteful number, since it uses less digits than its factorization.

348689936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 862 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 56.

The square root of 348689936 is about 18673.2411755431. The cubic root of 348689936 is about 703.8494964945.

The spelling of 348689936 in words is "three hundred forty-eight million, six hundred eighty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 223 322 368 446 607 644 892 1214 1288 1561 1784 2428 2576 3122 3568 4249 4856 5129 6244 8498 9712 10258 12488 13961 16996 20516 24976 27922 33992 35903 41032 55844 67984 71806 82064 97727 111688 135361 143612 195454 223376 270722 287224 390908 541444 574448 781816 947527 1082888 1563632 1895054 2165776 3113303 3790108 6226606 7580216 12453212 15160432 21793121 24906424 43586242 49812848 87172484 174344968 348689936