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353145096 = 2336193187
BaseRepresentation
bin10101000011001…
…001000100001000
3220121111122000000
4111003021010020
51210401120341
655013043000
711515453353
oct2503110410
9817448000
10353145096
11171383157
129a326460
13582178c5
1434c8929a
152100a8b6
hex150c9108

353145096 has 112 divisors (see below), whose sum is σ = 1045345200. Its totient is φ = 111484512.

The previous prime is 353145041. The next prime is 353145109. The reversal of 353145096 is 690541353.

It is a super-2 number, since 2×3531450962 = 249422917657698432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 353145096.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 109215 + ... + 112401.

Almost surely, 2353145096 is an apocalyptic number.

353145096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353145096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522672600).

353145096 is an abundant number, since it is smaller than the sum of its proper divisors (692200104).

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

353145096 is a wasteful number, since it uses less digits than its factorization.

353145096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 353145096 is about 18792.1551717731. The cubic root of 353145096 is about 706.8344799434.

The spelling of 353145096 in words is "three hundred fifty-three million, one hundred forty-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 729 972 1026 1368 1458 1539 1944 2052 2916 3078 3187 4104 4617 5832 6156 6374 9234 9561 12312 12748 13851 18468 19122 25496 27702 28683 36936 38244 55404 57366 60553 76488 86049 110808 114732 121106 172098 181659 229464 242212 258147 344196 363318 484424 516294 544977 688392 726636 774441 1032588 1089954 1453272 1548882 1634931 2065176 2179908 2323323 3097764 3269862 4359816 4646646 4904793 6195528 6539724 9293292 9809586 13079448 14714379 18586584 19619172 29428758 39238344 44143137 58857516 88286274 117715032 176572548 353145096