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349787136 = 2103313673
BaseRepresentation
bin10100110110010…
…101010000000000
3220101012000202010
4110312111100000
51204021142021
654413052520
711445066366
oct2466252000
9811160663
10349787136
1116a49a286
1299187140
135761034a
1434653636
1520a95976
hex14d95400

349787136 has 88 divisors (see below), whose sum is σ = 962646784. Its totient is φ = 112803840.

The previous prime is 349787129. The next prime is 349787147. The reversal of 349787136 is 631787943.

It is a super-2 number, since 2×3497871362 = 244702081022164992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93396 + ... + 97068.

It is an arithmetic number, because the mean of its divisors is an integer number (10939168).

Almost surely, 2349787136 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 349787136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481323392).

349787136 is an abundant number, since it is smaller than the sum of its proper divisors (612859648).

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

349787136 is a wasteful number, since it uses less digits than its factorization.

349787136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727 (or 3709 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 349787136 is about 18702.5970389141. The cubic root of 349787136 is about 704.5869760241.

The spelling of 349787136 in words is "three hundred forty-nine million, seven hundred eighty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2976 3072 3673 3968 5952 7346 7936 11019 11904 14692 15872 22038 23808 29384 31744 44076 47616 58768 88152 95232 113863 117536 176304 227726 235072 341589 352608 455452 470144 683178 705216 910904 940288 1366356 1410432 1821808 1880576 2732712 2820864 3643616 3761152 5465424 5641728 7287232 10930848 11283456 14574464 21861696 29148928 43723392 58297856 87446784 116595712 174893568 349787136