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342946440 = 233351718679
BaseRepresentation
bin10100011100001…
…111001010001000
3212220022111002000
4110130033022020
51200243241230
654010311000
711332665564
oct2434171210
9786274060
10342946440
11166647811
1296a28460
13560867b5
14337926a4
1520193b60
hex1470f288

342946440 has 128 divisors (see below), whose sum is σ = 1210464000. Its totient is φ = 86068224.

The previous prime is 342946393. The next prime is 342946469. The reversal of 342946440 is 44649243.

342946440 is a `hidden beast` number, since 3 + 4 + 2 + 9 + 4 + 644 + 0 = 666.

It is a super-2 number, since 2×3429464402 = 235224521417347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 342946395 and 342946404.

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, 9021 + ... + 27699.

It is an arithmetic number, because the mean of its divisors is an integer number (9456750).

Almost surely, 2342946440 is an apocalyptic number.

342946440 is a gapful number since it is divisible by the number (30) 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 342946440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605232000).

342946440 is an abundant number, since it is smaller than the sum of its proper divisors (867517560).

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

342946440 is a wasteful number, since it uses less digits than its factorization.

342946440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18716 (or 18706 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 342946440 is about 18518.8131369157. The cubic root of 342946440 is about 699.9635627292.

The spelling of 342946440 in words is "three hundred forty-two million, nine hundred forty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3672 4590 6120 9180 18360 18679 37358 56037 74716 93395 112074 149432 168111 186790 224148 280185 317543 336222 373580 448296 504333 560370 635086 672444 747160 840555 952629 1008666 1120740 1270172 1344888 1587715 1681110 1905258 2017332 2241480 2521665 2540344 2857887 3175430 3362220 3810516 4034664 4763145 5043330 5715774 6350860 6724440 7621032 8573661 9526290 10086660 11431548 12701720 14289435 17147322 19052580 20173320 22863096 28578870 34294644 38105160 42868305 57157740 68589288 85736610 114315480 171473220 342946440