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341019072 = 2634157419
BaseRepresentation
bin10100010100111…
…000100111000000
3212202200120020000
4110110320213000
51144300102242
653501120000
711310420462
oct2424704700
9782616200
10341019072
11165550749
1296259000
1355860444
1433410132
151ee12a4c
hex145389c0

341019072 has 140 divisors (see below), whose sum is σ = 1019754120. Its totient is φ = 112679424.

The previous prime is 341019067. The next prime is 341019143. The reversal of 341019072 is 270910143.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 813679 + ... + 814097.

It is an arithmetic number, because the mean of its divisors is an integer number (7283958).

Almost surely, 2341019072 is an apocalyptic number.

341019072 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 341019072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509877060).

341019072 is an abundant number, since it is smaller than the sum of its proper divisors (678735048).

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

341019072 is a wasteful number, since it uses less digits than its factorization.

341019072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 341019072 is about 18466.7017087513. The cubic root of 341019072 is about 698.6498273690.

The spelling of 341019072 in words is "three hundred forty-one million, nineteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 157 162 192 216 288 314 324 419 432 471 576 628 648 838 864 942 1256 1257 1296 1413 1676 1728 1884 2512 2514 2592 2826 3352 3768 3771 4239 5024 5028 5184 5652 6704 7536 7542 8478 10048 10056 11304 11313 12717 13408 15072 15084 16956 20112 22608 22626 25434 26816 30144 30168 33912 33939 40224 45216 45252 50868 60336 65783 67824 67878 80448 90432 90504 101736 120672 131566 135648 135756 181008 197349 203472 241344 263132 271296 271512 362016 394698 406944 526264 543024 592047 724032 789396 813888 1052528 1086048 1184094 1578792 1776141 2105056 2172096 2368188 3157584 3552282 4210112 4736376 5328423 6315168 7104564 9472752 10656846 12630336 14209128 18945504 21313692 28418256 37891008 42627384 56836512 85254768 113673024 170509536 341019072