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344094016 = 2672413187
BaseRepresentation
bin10100100000100…
…111010101000000
3212222110210020211
4110200213111000
51201042002031
654051043504
711345515360
oct2440472500
9788423224
10344094016
11167260a22
12972a0594
1356398c36
14339b09a0
152031dbb1
hex14827540

344094016 has 56 divisors (see below), whose sum is σ = 783839936. Its totient is φ = 146810880.

The previous prime is 344094011. The next prime is 344094067. The reversal of 344094016 is 610490443.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344094011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106375 + ... + 109561.

Almost surely, 2344094016 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 344094016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391919968).

344094016 is an abundant number, since it is smaller than the sum of its proper divisors (439745920).

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

344094016 is a wasteful number, since it uses less digits than its factorization.

344094016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3447 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 344094016 is about 18549.7713193452. The cubic root of 344094016 is about 700.7434387189.

The spelling of 344094016 in words is "three hundred forty-four million, ninety-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 241 448 482 964 1687 1928 3187 3374 3856 6374 6748 7712 12748 13496 15424 22309 25496 26992 44618 50992 53984 89236 101984 107968 178472 203968 356944 713888 768067 1427776 1536134 3072268 5376469 6144536 10752938 12289072 21505876 24578144 43011752 49156288 86023504 172047008 344094016