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349888716 = 223210790833
BaseRepresentation
bin10100110110101…
…110000011001100
3220101101012002100
4110312232003030
51204032414331
654415155100
711446001502
oct2466560314
9811335070
10349888716
1116a559631
1299215a90
1357647658
143467c672
1520ab5ae6
hex14dae0cc

349888716 has 36 divisors (see below), whose sum is σ = 892716552. Its totient is φ = 115538304.

The previous prime is 349888691. The next prime is 349888733. The reversal of 349888716 is 617888943.

349888716 is a `hidden beast` number, since 3 + 498 + 88 + 71 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3498887162 = 244844227168257312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41565 + ... + 49268.

It is an arithmetic number, because the mean of its divisors is an integer number (24797682).

Almost surely, 2349888716 is an apocalyptic number.

349888716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

349888716 is an abundant number, since it is smaller than the sum of its proper divisors (542827836).

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

349888716 is a wasteful number, since it uses less digits than its factorization.

349888716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90950 (or 90945 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 349888716 is about 18705.3125074135. The cubic root of 349888716 is about 704.6551746612.

The spelling of 349888716 in words is "three hundred forty-nine million, eight hundred eighty-eight thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3852 90833 181666 272499 363332 544998 817497 1089996 1634994 3269988 9719131 19438262 29157393 38876524 58314786 87472179 116629572 174944358 349888716