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11742354 = 2331343389
BaseRepresentation
bin101100110010…
…110010010010
3211002120111000
4230302302102
511001223404
61055402430
7201544161
oct54626222
924076430
1011742354
1166a0228
123b23416
132581950
1417b93d8
15106e339
hexb32c92

11742354 has 64 divisors (see below), whose sum is σ = 28828800. Its totient is φ = 3519936.

The previous prime is 11742347. The next prime is 11742371. The reversal of 11742354 is 45324711.

It is a super-3 number, since 3×117423543 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 29992 + ... + 30380.

It is an arithmetic number, because the mean of its divisors is an integer number (450450).

Almost surely, 211742354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11742354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14414400).

11742354 is an abundant number, since it is smaller than the sum of its proper divisors (17086446).

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

11742354 is a wasteful number, since it uses less digits than its factorization.

11742354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 11742354 is about 3426.7118349812. The cubic root of 11742354 is about 227.2924742793.

The spelling of 11742354 in words is "eleven million, seven hundred forty-two thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 54 78 86 117 129 234 258 351 387 389 559 702 774 778 1118 1161 1167 1677 2322 2334 3354 3501 5031 5057 7002 10062 10114 10503 15093 15171 16727 21006 30186 30342 33454 45513 50181 91026 100362 136539 150543 217451 273078 301086 434902 451629 652353 903258 1304706 1957059 3914118 5871177 11742354