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344312020 = 225137916763
BaseRepresentation
bin10100100001011…
…100100011010100
3212222212212022001
4110201130203110
51201120441040
654055445044
711350414063
oct2441344324
9788785261
10344312020
1116739a798
1297386784
1356444230
1433a2a1da
152036359a
hex1485c8d4

344312020 has 48 divisors (see below), whose sum is σ = 788578560. Its totient is φ = 125513856.

The previous prime is 344311997. The next prime is 344312027. The reversal of 344312020 is 20213443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344312027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12159 + ... + 28921.

It is an arithmetic number, because the mean of its divisors is an integer number (16428720).

Almost surely, 2344312020 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 344312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394289280).

344312020 is an abundant number, since it is smaller than the sum of its proper divisors (444266540).

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

344312020 is a wasteful number, since it uses less digits than its factorization.

344312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16864 (or 16862 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 344312020 is about 18555.6465799497. The cubic root of 344312020 is about 700.8913950089.

Adding to 344312020 its reverse (20213443), we get a palindrome (364525463).

The spelling of 344312020 in words is "three hundred forty-four million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 130 158 260 316 395 790 1027 1580 2054 4108 5135 10270 16763 20540 33526 67052 83815 167630 217919 335260 435838 871676 1089595 1324277 2179190 2648554 4358380 5297108 6621385 13242770 17215601 26485540 34431202 68862404 86078005 172156010 344312020