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342345432 = 2331113234337
BaseRepresentation
bin10100011001111…
…100011011011000
3212212011221122110
4110121330123120
51200120023212
653545352320
711324613432
oct2431743330
9785157573
10342345432
11166277210
12967986a0
1355c06080
1433677652
15200c5a3c
hex1467c6d8

342345432 has 128 divisors (see below), whose sum is σ = 1049448960. Its totient is φ = 91576320.

The previous prime is 342345397. The next prime is 342345461. The reversal of 342345432 is 234543243.

It is a super-2 number, since 2×3423454322 = 234400789622533248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 342345432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76768 + ... + 81104.

It is an arithmetic number, because the mean of its divisors is an integer number (8198820).

Almost surely, 2342345432 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 342345432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524724480).

342345432 is an abundant number, since it is smaller than the sum of its proper divisors (707103528).

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

342345432 is a wasteful number, since it uses less digits than its factorization.

342345432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4393 (or 4389 counting only the distinct ones).

The product of its digits is 34560, while the sum is 30.

The square root of 342345432 is about 18502.5790634711. The cubic root of 342345432 is about 699.5544320911.

Adding to 342345432 its reverse (234543243), we get a palindrome (576888675).

The spelling of 342345432 in words is "three hundred forty-two million, three hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 23 24 26 33 39 44 46 52 66 69 78 88 92 104 132 138 143 156 184 253 264 276 286 299 312 429 506 552 572 598 759 858 897 1012 1144 1196 1518 1716 1794 2024 2392 3036 3289 3432 3588 4337 6072 6578 7176 8674 9867 13011 13156 17348 19734 26022 26312 34696 39468 47707 52044 56381 78936 95414 99751 104088 112762 143121 169143 190828 199502 225524 286242 299253 338286 381656 399004 451048 572484 598506 620191 676572 798008 1097261 1144968 1197012 1240382 1296763 1353144 1860573 2194522 2394024 2480764 2593526 3291783 3721146 3890289 4389044 4961528 5187052 6583566 7442292 7780578 8778088 10374104 13167132 14264393 14884584 15561156 26334264 28528786 31122312 42793179 57057572 85586358 114115144 171172716 342345432