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342431232 = 29311131559
BaseRepresentation
bin10100011010010…
…001011000000000
3212212100022100020
4110122101120000
51200130244412
653551253440
711325421533
oct2432213000
9785308306
10342431232
11166325720
129681a280
1355c36140
143369aa1a
15200e118c
hex14691600

342431232 has 160 divisors (see below), whose sum is σ = 1072431360. Its totient is φ = 95723520.

The previous prime is 342431227. The next prime is 342431273. The reversal of 342431232 is 232134243.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218869 + ... + 220427.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696).

Almost surely, 2342431232 is an apocalyptic number.

342431232 is a gapful number since it is divisible by the number (32) 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 342431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536215680).

342431232 is an abundant number, since it is smaller than the sum of its proper divisors (730000128).

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

342431232 is a wasteful number, since it uses less digits than its factorization.

342431232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1588 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 342431232 is about 18504.8975139016. The cubic root of 342431232 is about 699.6128689320.

Adding to 342431232 its reverse (232134243), we get a palindrome (574565475).

The spelling of 342431232 in words is "three hundred forty-two million, four hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 256 264 286 312 352 384 416 429 512 528 572 624 704 768 832 858 1056 1144 1248 1408 1536 1559 1664 1716 2112 2288 2496 2816 3118 3328 3432 4224 4576 4677 4992 5632 6236 6656 6864 8448 9152 9354 9984 12472 13728 16896 17149 18304 18708 19968 20267 24944 27456 34298 36608 37416 40534 49888 51447 54912 60801 68596 73216 74832 81068 99776 102894 109824 121602 137192 149664 162136 199552 205788 219648 222937 243204 274384 299328 324272 399104 411576 445874 486408 548768 598656 648544 668811 798208 823152 891748 972816 1097536 1197312 1297088 1337622 1646304 1783496 1945632 2195072 2394624 2594176 2675244 3292608 3566992 3891264 4390144 5188352 5350488 6585216 7133984 7782528 8780288 10376704 10700976 13170432 14267968 15565056 21401952 26340864 28535936 31130112 42803904 57071872 85607808 114143744 171215616 342431232