Search a number
-
+
354980394 = 23443131389
BaseRepresentation
bin10101001010001…
…001001000101010
3220201221212120000
4111022021020222
51211333333034
655120243430
711540166156
oct2512111052
9821855500
10354980394
1117241702a
129aa70576
135870b092
1435206066
152126e599
hex1528922a

354980394 has 80 divisors (see below), whose sum is σ = 822238560. Its totient is φ = 114397920.

The previous prime is 354980389. The next prime is 354980429. The reversal of 354980394 is 493089453.

It is a happy number.

It is a super-2 number, since 2×3549803942 = 252022160248790472, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 912352 + ... + 912740.

It is an arithmetic number, because the mean of its divisors is an integer number (10277982).

Almost surely, 2354980394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354980394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411119280).

354980394 is an abundant number, since it is smaller than the sum of its proper divisors (467258166).

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

354980394 is a wasteful number, since it uses less digits than its factorization.

354980394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 354980394 is about 18840.9233850149. The cubic root of 354980394 is about 708.0568397343.

The spelling of 354980394 in words is "three hundred fifty-four million, nine hundred eighty thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 131 162 258 262 387 389 393 774 778 786 1161 1167 1179 2322 2334 2358 3483 3501 3537 5633 6966 7002 7074 10503 10611 11266 16727 16899 21006 21222 31509 33454 33798 50181 50697 50959 63018 100362 101394 101918 150543 152091 152877 301086 304182 305754 451629 456273 458631 903258 912546 917262 1354887 1375893 2191237 2709774 2751786 4127679 4382474 6573711 8255358 13147422 19721133 39442266 59163399 118326798 177490197 354980394