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338110542 = 232711267331
BaseRepresentation
bin10100001001110…
…010100001001110
3212120012210110200
4110021302201032
51143024014132
653314514330
711243615010
oct2411624116
9776183420
10338110542
11163944500
12952959a6
1355082613
1432c941b0
151ea3ad7c
hex1427284e

338110542 has 144 divisors (see below), whose sum is σ = 936813696. Its totient is φ = 86248800.

The previous prime is 338110537. The next prime is 338110561. The reversal of 338110542 is 245011833.

It is a happy number.

338110542 is a `hidden beast` number, since 3 + 3 + 8 + 110 + 542 = 666.

338110542 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3381105422 = 228637477223067528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1021317 + ... + 1021647.

Almost surely, 2338110542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338110542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468406848).

338110542 is an abundant number, since it is smaller than the sum of its proper divisors (598703154).

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

338110542 is a wasteful number, since it uses less digits than its factorization.

338110542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 338110542 is about 18387.7824111555. The cubic root of 338110542 is about 696.6579069382.

The spelling of 338110542 in words is "three hundred thirty-eight million, one hundred ten thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 67 77 99 121 126 134 154 198 201 231 242 331 363 402 462 469 603 662 693 726 737 847 938 993 1089 1206 1386 1407 1474 1694 1986 2178 2211 2317 2541 2814 2979 3641 4221 4422 4634 5082 5159 5958 6633 6951 7282 7623 8107 8442 10318 10923 13266 13902 15246 15477 16214 20853 21846 22177 24321 25487 30954 32769 40051 41706 44354 46431 48642 50974 56749 65538 66531 72963 76461 80102 92862 113498 120153 133062 145926 152922 155239 170247 199593 229383 240306 243947 280357 310478 340494 360459 399186 458766 465717 487894 510741 560714 720918 731841 841071 931434 1021482 1397151 1463682 1682142 1707629 2195523 2523213 2683417 2794302 3415258 4391046 5046426 5122887 5366834 8050251 10245774 15368661 16100502 18783919 24150753 30737322 37567838 48301506 56351757 112703514 169055271 338110542