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341689920 = 2635111319131
BaseRepresentation
bin10100010111011…
…100011001000000
3212210221122110020
4110113130121000
51144433034140
653523333440
711316213345
oct2427343100
9783848406
10341689920
11165969770
1296521280
1355a368b0
14335467cc
151eee66d0
hex145dc640

341689920 has 448 divisors, whose sum is σ = 1351848960. Its totient is φ = 71884800.

The previous prime is 341689889. The next prime is 341689927. The reversal of 341689920 is 29986143.

It is not an unprimeable number, because it can be changed into a prime (341689927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2608255 + ... + 2608385.

It is an arithmetic number, because the mean of its divisors is an integer number (3017520).

Almost surely, 2341689920 is an apocalyptic number.

341689920 is a gapful number since it is divisible by the number (30) 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 341689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675924480).

341689920 is an abundant number, since it is smaller than the sum of its proper divisors (1010159040).

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

341689920 is a wasteful number, since it uses less digits than its factorization.

341689920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 341689920 is about 18484.8565047176. The cubic root of 341689920 is about 699.1076520492.

The spelling of 341689920 in words is "three hundred forty-one million, six hundred eighty-nine thousand, nine hundred twenty".