Search a number
-
+
354241404 = 223311378059
BaseRepresentation
bin10101000111010…
…100101101111100
3220200120022212000
4111013110231330
51211141211104
655052342300
711531000526
oct2507245574
9820508760
10354241404
11171a618a0
129a774990
135850c8ca
1435092a16
1521175639
hex151d4b7c

354241404 has 96 divisors (see below), whose sum is σ = 1029100800. Its totient is φ = 104431680.

The previous prime is 354241403. The next prime is 354241471. The reversal of 354241404 is 404142453.

It is a happy number.

It is a super-3 number, since 3×3542414043 (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354241403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39927 + ... + 47985.

It is an arithmetic number, because the mean of its divisors is an integer number (10719800).

Almost surely, 2354241404 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 354241404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514550400).

354241404 is an abundant number, since it is smaller than the sum of its proper divisors (674859396).

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

354241404 is a wasteful number, since it uses less digits than its factorization.

354241404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8120 (or 8112 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 354241404 is about 18821.3018678305. The cubic root of 354241404 is about 707.5651595853.

Adding to 354241404 its reverse (404142453), we get a palindrome (758383857).

The spelling of 354241404 in words is "three hundred fifty-four million, two hundred forty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 54 66 74 99 108 111 132 148 198 222 297 333 396 407 444 594 666 814 999 1188 1221 1332 1628 1998 2442 3663 3996 4884 7326 8059 10989 14652 16118 21978 24177 32236 43956 48354 72531 88649 96708 145062 177298 217593 265947 290124 298183 354596 435186 531894 596366 797841 870372 894549 1063788 1192732 1595682 1789098 2393523 2683647 3191364 3280013 3578196 4787046 5367294 6560026 8050941 9574092 9840039 10734588 13120052 16101882 19680078 29520117 32203764 39360156 59040234 88560351 118080468 177120702 354241404