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344848820 = 225432811427
BaseRepresentation
bin10100100011011…
…111100110110100
3220000220010122112
4110203133212310
51201240130240
654115150152
711355111101
oct2443374664
9800803575
10344848820
11167727028
12975a5358
13565a1674
1433b29aa8
152041c665
hex148df9b4

344848820 has 48 divisors (see below), whose sum is σ = 744182208. Its totient is φ = 134158080.

The previous prime is 344848813. The next prime is 344848837. The reversal of 344848820 is 28848443.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240947 + ... + 242373.

It is an arithmetic number, because the mean of its divisors is an integer number (15503796).

Almost surely, 2344848820 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 344848820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372091104).

344848820 is an abundant number, since it is smaller than the sum of its proper divisors (399333388).

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

344848820 is a wasteful number, since it uses less digits than its factorization.

344848820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 41.

The square root of 344848820 is about 18570.1055462806. The cubic root of 344848820 is about 701.2554476929.

The spelling of 344848820 in words is "three hundred forty-four million, eight hundred forty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 281 430 562 860 1124 1405 1427 2810 2854 5620 5708 7135 12083 14270 24166 28540 48332 60415 61361 120830 122722 241660 245444 306805 400987 613610 801974 1227220 1603948 2004935 4009870 8019740 17242441 34484882 68969764 86212205 172424410 344848820