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341484192 = 253271131499
BaseRepresentation
bin10100010110101…
…010001010100000
3212210120012020200
4110112222022200
51144404443232
653515105200
711314365510
oct2426521240
9783505220
10341484192
11165839145
1296442200
135599406a
14334d1840
151eea577c
hex145aa2a0

341484192 has 144 divisors (see below), whose sum is σ = 1120392000. Its totient is φ = 96638976.

The previous prime is 341484173. The next prime is 341484217. The reversal of 341484192 is 291484143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3414841922 = 233222906771785728, which contains 22 as substring.

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

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

It is a nialpdrome in base 12.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 227059 + ... + 228557.

It is an arithmetic number, because the mean of its divisors is an integer number (7780500).

Almost surely, 2341484192 is an apocalyptic number.

341484192 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 341484192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560196000).

341484192 is an abundant number, since it is smaller than the sum of its proper divisors (778907808).

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

341484192 is a wasteful number, since it uses less digits than its factorization.

341484192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1624 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 341484192 is about 18479.2908954862. The cubic root of 341484192 is about 698.9673153622.

The spelling of 341484192 in words is "three hundred forty-one million, four hundred eighty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 113 126 144 168 224 226 252 288 336 339 452 504 672 678 791 904 1008 1017 1356 1499 1582 1808 2016 2034 2373 2712 2998 3164 3616 4068 4497 4746 5424 5996 6328 7119 8136 8994 9492 10493 10848 11992 12656 13491 14238 16272 17988 18984 20986 23984 25312 26982 28476 31479 32544 35976 37968 41972 47968 53964 56952 62958 71952 75936 83944 94437 107928 113904 125916 143904 167888 169387 188874 215856 227808 251832 335776 338774 377748 431712 503664 508161 677548 755496 1007328 1016322 1185709 1355096 1510992 1524483 2032644 2371418 2710192 3021984 3048966 3557127 4065288 4742836 5420384 6097932 7114254 8130576 9485672 10671381 12195864 14228508 16261152 18971344 21342762 24391728 28457016 37942688 42685524 48783456 56914032 85371048 113828064 170742096 341484192