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234331542 = 23429311609
BaseRepresentation
bin11011111011110…
…01110110010110
3121022221021110000
431331321312112
5434442102132
635130312130
75543533224
oct1575716626
9538837400
10234331542
11110301835
1266588646
1339717a23
142319bb14
151588b87c
hexdf79d96

234331542 has 80 divisors (see below), whose sum is σ = 561052800. Its totient is φ = 72938880.

The previous prime is 234331507. The next prime is 234331583. The reversal of 234331542 is 245133432.

234331542 is a `hidden beast` number, since 2 + 343 + 315 + 4 + 2 = 666.

234331542 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 2×2343315422 = 109822543152195528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144834 + ... + 146442.

It is an arithmetic number, because the mean of its divisors is an integer number (7013160).

Almost surely, 2234331542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234331542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280526400).

234331542 is an abundant number, since it is smaller than the sum of its proper divisors (326721258).

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

234331542 is a wasteful number, since it uses less digits than its factorization.

234331542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1674 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 234331542 is about 15307.8914942588. The cubic root of 234331542 is about 616.5149089758.

Adding to 234331542 its reverse (245133432), we get a palindrome (479464974).

It can be divided in two parts, 234 and 331542, that added together give a 4-th power (331776 = 244).

The spelling of 234331542 in words is "two hundred thirty-four million, three hundred thirty-one thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 31 54 58 62 81 87 93 162 174 186 261 279 522 558 783 837 899 1566 1609 1674 1798 2349 2511 2697 3218 4698 4827 5022 5394 8091 9654 14481 16182 24273 28962 43443 46661 48546 49879 72819 86886 93322 99758 130329 139983 145638 149637 260658 279966 299274 419949 448911 839898 897822 1259847 1346733 1446491 2519694 2693466 2892982 3779541 4040199 4339473 7559082 8080398 8678946 13018419 26036838 39055257 78110514 117165771 234331542