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355089648 = 243131149379
BaseRepresentation
bin10101001010100…
…011110011110000
3220202011102102110
4111022203303300
51211400332043
655122445320
711541132534
oct2512436360
9822142373
10355089648
11172491121
129ab03840
1358748a24
1435233bc4
1521291b33
hex152a3cf0

355089648 has 80 divisors (see below), whose sum is σ = 932976000. Its totient is φ = 116363520.

The previous prime is 355089607. The next prime is 355089649. The reversal of 355089648 is 846980553.

It is a happy number.

355089648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 355089597 and 355089606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355089649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936723 + ... + 937101.

It is an arithmetic number, because the mean of its divisors is an integer number (11662200).

Almost surely, 2355089648 is an apocalyptic number.

It is an amenable number.

355089648 is an abundant number, since it is smaller than the sum of its proper divisors (577886352).

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

355089648 is a wasteful number, since it uses less digits than its factorization.

355089648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 355089648 is about 18843.8225421489. The cubic root of 355089648 is about 708.1294729542.

The spelling of 355089648 in words is "three hundred fifty-five million, eighty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 131 149 262 298 379 393 447 524 596 758 786 894 1048 1137 1192 1516 1572 1788 2096 2274 2384 3032 3144 3576 4548 6064 6288 7152 9096 18192 19519 39038 49649 56471 58557 78076 99298 112942 117114 148947 156152 169413 198596 225884 234228 297894 312304 338826 397192 451768 468456 595788 677652 794384 903536 936912 1191576 1355304 2383152 2710608 7397701 14795402 22193103 29590804 44386206 59181608 88772412 118363216 177544824 355089648