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342415040 = 26511891093
BaseRepresentation
bin10100011010001…
…101011011000000
3212212022111010112
4110122031123000
51200124240130
653551050452
711325323402
oct2432153300
9785274115
10342415040
11166314540
1296810a28
1355c2b966
1433694b72
15200db495
hex1468d6c0

342415040 has 112 divisors (see below), whose sum is σ = 900318240. Its totient is φ = 123002880.

The previous prime is 342415027. The next prime is 342415049. The reversal of 342415040 is 40514243.

It is a junction number, because it is equal to n+sod(n) for n = 342414997 and 342415015.

It is not an unprimeable number, because it can be changed into a prime (342415049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312734 + ... + 313826.

Almost surely, 2342415040 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 342415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450159120).

342415040 is an abundant number, since it is smaller than the sum of its proper divisors (557903200).

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

342415040 is a wasteful number, since it uses less digits than its factorization.

342415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 342415040 is about 18504.4600029290. The cubic root of 342415040 is about 699.6018415986.

Adding to 342415040 its reverse (40514243), we get a palindrome (382929283).

The spelling of 342415040 in words is "three hundred forty-two million, four hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 89 110 160 176 178 220 320 352 356 440 445 704 712 880 890 979 1093 1424 1760 1780 1958 2186 2848 3520 3560 3916 4372 4895 5465 5696 7120 7832 8744 9790 10930 12023 14240 15664 17488 19580 21860 24046 28480 31328 34976 39160 43720 48092 60115 62656 69952 78320 87440 96184 97277 120230 156640 174880 192368 194554 240460 313280 349760 384736 389108 480920 486385 769472 778216 961840 972770 1070047 1556432 1923680 1945540 2140094 3112864 3847360 3891080 4280188 5350235 6225728 7782160 8560376 10700470 15564320 17120752 21400940 31128640 34241504 42801880 68483008 85603760 171207520 342415040