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348636416 = 2831197223
BaseRepresentation
bin10100110001111…
…100010100000000
3220022000120020212
4110301330110000
51203222331131
654332253252
711432234462
oct2461742400
9808016225
10348636416
11169883777
1298911228
13572c964b
1434434132
1520919a2b
hex14c7c500

348636416 has 72 divisors (see below), whose sum is σ = 725243904. Its totient is φ = 167086080.

The previous prime is 348636403. The next prime is 348636439. The reversal of 348636416 is 614636843.

It is a super-2 number, since 2×3486364162 = 243094701122650112, 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1563281 + ... + 1563503.

It is an arithmetic number, because the mean of its divisors is an integer number (10072832).

Almost surely, 2348636416 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 348636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362621952).

348636416 is an abundant number, since it is smaller than the sum of its proper divisors (376607488).

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

348636416 is a wasteful number, since it uses less digits than its factorization.

348636416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 453 counting only the distinct ones).

The product of its digits is 248832, while the sum is 41.

The square root of 348636416 is about 18671.8080538549. The cubic root of 348636416 is about 703.8134836469.

The spelling of 348636416 in words is "three hundred forty-eight million, six hundred thirty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 197 223 248 256 394 446 496 788 892 992 1576 1784 1984 3152 3568 3968 6107 6304 6913 7136 7936 12214 12608 13826 14272 24428 25216 27652 28544 43931 48856 50432 55304 57088 87862 97712 110608 175724 195424 221216 351448 390848 442432 702896 781696 884864 1361861 1405792 1563392 1769728 2723722 2811584 5447444 5623168 10894888 11246336 21789776 43579552 87159104 174318208 348636416