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341819676 = 22341128719
BaseRepresentation
bin10100010111111…
…100000100011100
3212211012020110000
4110113330010130
51200001212201
653530214300
711320263552
oct2427740434
9784166400
10341819676
11165a48200
1296584390
1355a80983
143357bbd2
152001ed86
hex145fc11c

341819676 has 90 divisors (see below), whose sum is σ = 982316720. Its totient is φ = 103569840.

The previous prime is 341819657. The next prime is 341819677. The reversal of 341819676 is 676918143.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341819677) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 34845 + ... + 43563.

Almost surely, 2341819676 is an apocalyptic number.

341819676 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 341819676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491158360).

341819676 is an abundant number, since it is smaller than the sum of its proper divisors (640497044).

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

341819676 is a wasteful number, since it uses less digits than its factorization.

341819676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8757 (or 8735 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 341819676 is about 18488.3659634917. The cubic root of 341819676 is about 699.1961357171.

The spelling of 341819676 in words is "three hundred forty-one million, eight hundred nineteen thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2178 3267 3564 4356 6534 8719 9801 13068 17438 19602 26157 34876 39204 52314 78471 95909 104628 156942 191818 235413 287727 313884 383636 470826 575454 706239 863181 941652 1054999 1150908 1412478 1726362 2109998 2589543 2824956 3164997 3452724 4219996 5179086 6329994 7768629 9494991 10358172 12659988 15537258 18989982 28484973 31074516 37979964 56969946 85454919 113939892 170909838 341819676