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354943368 = 233213372277
BaseRepresentation
bin10101001010000…
…000000110001000
3220201212222202200
4111022000012020
51211331141433
655115400200
711536653213
oct2512000610
9821788680
10354943368
111723a122a
129aa53060
13586c7280
14351d677a
1521263613
hex15280188

354943368 has 144 divisors (see below), whose sum is σ = 1067828580. Its totient is φ = 105878016.

The previous prime is 354943363. The next prime is 354943387. The reversal of 354943368 is 863349453.

354943368 is a `hidden beast` number, since 3 + 549 + 43 + 3 + 68 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 206152164 + 148791204 = 14358^2 + 12198^2 .

It is not an unprimeable number, because it can be changed into a prime (354943361) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1281246 + ... + 1281522.

Almost surely, 2354943368 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 354943368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533914290).

354943368 is an abundant number, since it is smaller than the sum of its proper divisors (712885212).

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

354943368 is a wasteful number, since it uses less digits than its factorization.

354943368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 332 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 354943368 is about 18839.9407642381. The cubic root of 354943368 is about 708.0322210750.

The spelling of 354943368 in words is "three hundred fifty-four million, nine hundred forty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 37 39 52 72 74 78 104 111 117 148 156 222 234 277 296 312 333 444 468 481 554 666 831 888 936 962 1108 1332 1369 1443 1662 1924 2216 2493 2664 2738 2886 3324 3601 3848 4107 4329 4986 5476 5772 6648 7202 8214 8658 9972 10249 10803 10952 11544 12321 14404 16428 17316 17797 19944 20498 21606 24642 28808 30747 32409 32856 34632 35594 40996 43212 49284 53391 61494 64818 71188 81992 86424 92241 98568 106782 122988 129636 133237 142376 160173 184482 213564 245976 259272 266474 320346 368964 379213 399711 427128 532948 640692 737928 758426 799422 1065896 1137639 1199133 1281384 1516852 1598844 2275278 2398266 3033704 3197688 3412917 4550556 4796532 4929769 6825834 9101112 9593064 9859538 13651668 14789307 19719076 27303336 29578614 39438152 44367921 59157228 88735842 118314456 177471684 354943368