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341466240 = 2735315737
BaseRepresentation
bin10100010110100…
…101110010000000
3212210112021121210
4110112211302000
51144403404430
653514450120
711314262253
oct2426456200
9783467553
10341466240
11165826705
1296433940
1355988b3b
14334c909a
151eea02b0
hex145a5c80

341466240 has 128 divisors (see below), whose sum is σ = 1123729920. Its totient is φ = 88104960.

The previous prime is 341466239. The next prime is 341466241. The reversal of 341466240 is 42664143.

It is an interprime number because it is at equal distance from previous prime (341466239) and next prime (341466241).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 341466198 and 341466207.

It is not an unprimeable number, because it can be changed into a prime (341466241) 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 15 ways as a sum of consecutive naturals, for example, 56652 + ... + 62388.

It is an arithmetic number, because the mean of its divisors is an integer number (8779140).

Almost surely, 2341466240 is an apocalyptic number.

341466240 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 341466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561864960).

341466240 is an abundant number, since it is smaller than the sum of its proper divisors (782263680).

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

341466240 is a wasteful number, since it uses less digits than its factorization.

341466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 341466240 is about 18478.8051561783. The cubic root of 341466240 is about 698.9550667902.

The spelling of 341466240 in words is "three hundred forty-one million, four hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 310 320 372 384 465 480 496 620 640 744 930 960 992 1240 1488 1860 1920 1984 2480 2976 3720 3968 4960 5737 5952 7440 9920 11474 11904 14880 17211 19840 22948 28685 29760 34422 45896 57370 59520 68844 86055 91792 114740 137688 172110 177847 183584 229480 275376 344220 355694 367168 458960 533541 550752 688440 711388 734336 889235 917920 1067082 1101504 1376880 1422776 1778470 1835840 2134164 2203008 2667705 2753760 2845552 3556940 3671680 4268328 5335410 5507520 5691104 7113880 8536656 10670820 11015040 11382208 14227760 17073312 21341640 22764416 28455520 34146624 42683280 56911040 68293248 85366560 113822080 170733120 341466240