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348644034 = 23319419811
BaseRepresentation
bin10100110001111…
…110001011000010
3220022000221201000
4110301332023002
51203223102114
654332352430
711432265624
oct2461761302
9808027630
10348644034
11169889472
1298915716
13572ccc5b
1434436c14
152091be09
hex14c7e2c2

348644034 has 64 divisors (see below), whose sum is σ = 818496000. Its totient is φ = 109699920.

The previous prime is 348643969. The next prime is 348644059. The reversal of 348644034 is 430446843.

348644034 is a `hidden beast` number, since 3 + 4 + 8 + 644 + 0 + 3 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 348644034.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429489 + ... + 430299.

It is an arithmetic number, because the mean of its divisors is an integer number (12789000).

Almost surely, 2348644034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348644034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409248000).

348644034 is an abundant number, since it is smaller than the sum of its proper divisors (469851966).

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

348644034 is a wasteful number, since it uses less digits than its factorization.

348644034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 348644034 is about 18672.0120501246. The cubic root of 348644034 is about 703.8186099159.

The spelling of 348644034 in words is "three hundred forty-eight million, six hundred forty-four thousand, thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 419 513 811 838 1026 1257 1622 2433 2514 3771 4866 7299 7542 7961 11313 14598 15409 15922 21897 22626 23883 30818 43794 46227 47766 71649 92454 138681 143298 214947 277362 339809 416043 429894 679618 832086 1019427 2038854 3058281 6116562 6456371 9174843 12912742 18349686 19369113 38738226 58107339 116214678 174322017 348644034