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341222688 = 25321796619
BaseRepresentation
bin10100010101101…
…010010100100000
3212210001220112100
4110111222110200
51144323111223
653505330400
711312226222
oct2425522440
9783056470
10341222688
1116567a724
1296336a00
1355902021
1433464412
151ee53043
hex1456a520

341222688 has 72 divisors (see below), whose sum is σ = 975920400. Its totient is φ = 113088384.

The previous prime is 341222683. The next prime is 341222719. The reversal of 341222688 is 886222143.

341222688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 not an unprimeable number, because it can be changed into a prime (341222683) 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 11 ways as a sum of consecutive naturals, for example, 48243 + ... + 54861.

It is an arithmetic number, because the mean of its divisors is an integer number (13554450).

Almost surely, 2341222688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341222688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487960200).

341222688 is an abundant number, since it is smaller than the sum of its proper divisors (634697712).

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

341222688 is a wasteful number, since it uses less digits than its factorization.

341222688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6814 (or 6803 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 341222688 is about 18472.2139441920. The cubic root of 341222688 is about 698.7888498768.

The spelling of 341222688 in words is "three hundred forty-one million, two hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 179 288 358 537 716 1074 1432 1611 2148 2864 3222 4296 5728 6444 6619 8592 12888 13238 17184 19857 25776 26476 39714 51552 52952 59571 79428 105904 119142 158856 211808 238284 317712 476568 635424 953136 1184801 1906272 2369602 3554403 4739204 7108806 9478408 10663209 14217612 18956816 21326418 28435224 37913632 42652836 56870448 85305672 113740896 170611344 341222688