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350147808 = 253219611049
BaseRepresentation
bin10100110111101…
…101010011100000
3220101212100111100
4110313231103200
51204114212213
654424514400
711451131043
oct2467552340
9811770440
10350147808
1116a71625a
129931ba00
135770856a
1434708c5a
1520b17773
hex14ded4e0

350147808 has 144 divisors (see below), whose sum is σ = 1066338000. Its totient is φ = 108656640.

The previous prime is 350147803. The next prime is 350147813. The reversal of 350147808 is 808741053.

It is an interprime number because it is at equal distance from previous prime (350147803) and next prime (350147813).

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350147803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333268 + ... + 334316.

It is an arithmetic number, because the mean of its divisors is an integer number (7405125).

Almost surely, 2350147808 is an apocalyptic number.

350147808 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 350147808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533169000).

350147808 is an abundant number, since it is smaller than the sum of its proper divisors (716190192).

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

350147808 is a wasteful number, since it uses less digits than its factorization.

350147808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 350147808 is about 18712.2368518571. The cubic root of 350147808 is about 704.8290637335.

The spelling of 350147808 in words is "three hundred fifty million, one hundred forty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 61 72 76 96 114 122 144 152 171 183 228 244 288 304 342 366 456 488 549 608 684 732 912 976 1049 1098 1159 1368 1464 1824 1952 2098 2196 2318 2736 2928 3147 3477 4196 4392 4636 5472 5856 6294 6954 8392 8784 9272 9441 10431 12588 13908 16784 17568 18544 18882 19931 20862 25176 27816 33568 37088 37764 39862 41724 50352 55632 59793 63989 75528 79724 83448 100704 111264 119586 127978 151056 159448 166896 179379 191967 239172 255956 302112 318896 333792 358758 383934 478344 511912 575901 637792 717516 767868 956688 1023824 1151802 1215791 1435032 1535736 1913376 2047648 2303604 2431582 2870064 3071472 3647373 4607208 4863164 5740128 6142944 7294746 9214416 9726328 10942119 14589492 18428832 19452656 21884238 29178984 38905312 43768476 58357968 87536952 116715936 175073904 350147808