Search a number
-
+
354421818 = 2352925147
BaseRepresentation
bin10101001000000…
…000110000111010
3220200220111100000
4111020000300322
51211212444233
655100253430
711532351522
oct2510006072
9820814300
10354421818
111720753a3
129a841276
1358573a6a
14350dc682
15211add13
hex15200c3a

354421818 has 48 divisors (see below), whose sum is σ = 823848480. Its totient is φ = 114062256.

The previous prime is 354421811. The next prime is 354421819. The reversal of 354421818 is 818124453.

354421818 is a `hidden beast` number, since 35 + 442 + 181 + 8 = 666.

It is a super-2 number, since 2×3544218182 = 251229650148850248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (354421811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1521 + ... + 26667.

It is an arithmetic number, because the mean of its divisors is an integer number (17163510).

Almost surely, 2354421818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354421818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411924240).

354421818 is an abundant number, since it is smaller than the sum of its proper divisors (469426662).

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

354421818 is a wasteful number, since it uses less digits than its factorization.

354421818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25193 (or 25181 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 354421818 is about 18826.0940717930. The cubic root of 354421818 is about 707.6852594137.

The spelling of 354421818 in words is "three hundred fifty-four million, four hundred twenty-one thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 783 1566 2349 4698 7047 14094 25147 50294 75441 150882 226323 452646 678969 729263 1357938 1458526 2036907 2187789 4073814 4375578 6110721 6563367 12221442 13126734 19690101 39380202 59070303 118140606 177210909 354421818