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341063136 = 2535231907
BaseRepresentation
bin10100010101000…
…011010111100000
3212202202210200000
4110111003113200
51144303010021
653502100000
711310663111
oct2425032740
9782683600
10341063136
11165580867
129627a600
135587750b
1433422208
151ee20b26
hex145435e0

341063136 has 144 divisors (see below), whose sum is σ = 1050102144. Its totient is φ = 108687744.

The previous prime is 341063131. The next prime is 341063137. The reversal of 341063136 is 631360143.

341063136 is a `hidden beast` number, since 341 + 0 + 6 + 313 + 6 = 666.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341063131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177895 + ... + 179801.

It is an arithmetic number, because the mean of its divisors is an integer number (7292376).

Almost surely, 2341063136 is an apocalyptic number.

341063136 is a gapful number since it is divisible by the number (36) 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 341063136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525051072).

341063136 is an abundant number, since it is smaller than the sum of its proper divisors (709039008).

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

341063136 is a wasteful number, since it uses less digits than its factorization.

341063136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 341063136 is about 18467.8947365421. The cubic root of 341063136 is about 698.6799175533.

Adding to 341063136 its product of nonzero digits (3888), we get a square (341067024 = 184682).

The spelling of 341063136 in words is "three hundred forty-one million, sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 243 276 288 324 368 414 432 486 552 621 648 736 828 864 972 1104 1242 1296 1656 1863 1907 1944 2208 2484 2592 3312 3726 3814 3888 4968 5589 5721 6624 7452 7628 7776 9936 11178 11442 14904 15256 17163 19872 22356 22884 29808 30512 34326 43861 44712 45768 51489 59616 61024 68652 87722 89424 91536 102978 131583 137304 154467 175444 178848 183072 205956 263166 274608 308934 350888 394749 411912 463401 526332 549216 617868 701776 789498 823824 926802 1052664 1184247 1235736 1403552 1578996 1647648 1853604 2105328 2368494 2471472 3157992 3552741 3707208 4210656 4736988 4942944 6315984 7105482 7414416 9473976 10658223 12631968 14210964 14828832 18947952 21316446 28421928 37895904 42632892 56843856 85265784 113687712 170531568 341063136