[go: up one dir, main page]

Search a number
-
+
356664440 = 235112591249
BaseRepresentation
bin10101010000100…
…100010001111000
3220212010102122002
4111100210101320
51212301230230
655220320132
711560412006
oct2520442170
9825112562
10356664440
11173367300
129b543048
1358b7a762
1435523a76
15214a3545
hex15424478

356664440 has 96 divisors (see below), whose sum is σ = 897750000. Its totient is φ = 127395840.

The previous prime is 356664421. The next prime is 356664449. The reversal of 356664440 is 44466653.

It is a happy number.

It is a super-3 number, since 3×3566644403 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 356664394 and 356664403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (356664449) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 284936 + ... + 286184.

Almost surely, 2356664440 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 356664440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448875000).

356664440 is an abundant number, since it is smaller than the sum of its proper divisors (541085560).

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

356664440 is a wasteful number, since it uses less digits than its factorization.

356664440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The square root of 356664440 is about 18885.5616808185. The cubic root of 356664440 is about 709.1747602911.

The spelling of 356664440 in words is "three hundred fifty-six million, six hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 110 118 121 220 236 242 295 440 472 484 590 605 649 968 1180 1210 1249 1298 2360 2420 2498 2596 3245 4840 4996 5192 6245 6490 7139 9992 12490 12980 13739 14278 24980 25960 27478 28556 35695 49960 54956 57112 68695 71390 73691 109912 137390 142780 147382 151129 274780 285560 294764 302258 368455 549560 589528 604516 736910 755645 810601 1209032 1473820 1511290 1621202 2947640 3022580 3242404 4053005 6045160 6484808 8106010 8916611 16212020 17833222 32424040 35666444 44583055 71332888 89166110 178332220 356664440