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342003024 = 243211713041
BaseRepresentation
bin10100011000101…
…000110101010000
3212211112112221200
4110120220311100
51200023044044
653534151200
711321656236
oct2430506520
9784475850
10342003024
11166062a30
1296652500
1355b1626c
14335c8956
1520059369
hex14628d50

342003024 has 120 divisors (see below), whose sum is σ = 1059200064. Its totient is φ = 102144000.

The previous prime is 342003023. The next prime is 342003043. The reversal of 342003024 is 420300243.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 342002988 and 342003006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342003023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110944 + ... + 113984.

Almost surely, 2342003024 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 342003024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529600032).

342003024 is an abundant number, since it is smaller than the sum of its proper divisors (717197040).

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

342003024 is a wasteful number, since it uses less digits than its factorization.

342003024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 342003024 is about 18493.3237683224. The cubic root of 342003024 is about 699.3211268629.

Adding to 342003024 its reverse (420300243), we get a palindrome (762303267).

The spelling of 342003024 in words is "three hundred forty-two million, three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 71 72 88 99 132 142 144 176 198 213 264 284 396 426 528 568 639 781 792 852 1136 1278 1562 1584 1704 2343 2556 3041 3124 3408 4686 5112 6082 6248 7029 9123 9372 10224 12164 12496 14058 18246 18744 24328 27369 28116 33451 36492 37488 48656 54738 56232 66902 72984 100353 109476 112464 133804 145968 200706 215911 218952 267608 301059 401412 431822 437904 535216 602118 647733 802824 863644 1204236 1295466 1605648 1727288 1943199 2375021 2408472 2590932 3454576 3886398 4750042 4816944 5181864 7125063 7772796 9500084 10363728 14250126 15545592 19000168 21375189 28500252 31091184 38000336 42750378 57000504 85500756 114001008 171001512 342003024