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1714017152 = 27431092857
BaseRepresentation
bin110011000101001…
…1101001110000000
311102110020002111202
41212022131032000
512002242022102
6442025200332
760321622361
oct14612351600
94373202452
101714017152
117aa577501
123ba0300a8
13214146743
141238d3b68
15a0721e02
hex6629d380

1714017152 has 64 divisors (see below), whose sum is σ = 3527343600. Its totient is φ = 829108224.

The previous prime is 1714017143. The next prime is 1714017161. The reversal of 1714017152 is 2517104171.

It is an interprime number because it is at equal distance from previous prime (1714017143) and next prime (1714017161).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×17140171522 = 5875709594700382208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 598508 + ... + 601364.

Almost surely, 21714017152 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 1714017152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763671800).

1714017152 is an abundant number, since it is smaller than the sum of its proper divisors (1813326448).

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

1714017152 is a wasteful number, since it uses less digits than its factorization.

1714017152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 29.

The square root of 1714017152 is about 41400.6902357920. The cubic root of 1714017152 is about 1196.7544595995.

The spelling of 1714017152 in words is "one billion, seven hundred fourteen million, seventeen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 43 64 86 109 128 172 218 344 436 688 872 1376 1744 2752 2857 3488 4687 5504 5714 6976 9374 11428 13952 18748 22856 37496 45712 74992 91424 122851 149984 182848 245702 299968 311413 365696 491404 599936 622826 982808 1245652 1965616 2491304 3931232 4982608 7862464 9965216 13390759 15724928 19930432 26781518 39860864 53563036 107126072 214252144 428504288 857008576 1714017152