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355407444 = 223275212707
BaseRepresentation
bin10101001011110…
…001011001010100
3220202202120100200
4111023301121110
51211441014234
655133340500
711543625210
oct2513613124
9822676320
10355407444
11172688967
129b037730
135882a582
14352b7940
1521305d99
hex152f1654

355407444 has 72 divisors (see below), whose sum is σ = 1029083328. Its totient is φ = 101312640.

The previous prime is 355407443. The next prime is 355407449. The reversal of 355407444 is 444704553.

355407444 is a `hidden beast` number, since 3 + 5 + 540 + 74 + 44 = 666.

It is a super-2 number, since 2×3554074442 = 252628902501226272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 355407399 and 355407408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355407443) 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, 129939 + ... + 132645.

It is an arithmetic number, because the mean of its divisors is an integer number (14292824).

Almost surely, 2355407444 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 355407444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514541664).

355407444 is an abundant number, since it is smaller than the sum of its proper divisors (673675884).

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

355407444 is a wasteful number, since it uses less digits than its factorization.

355407444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The square root of 355407444 is about 18852.2530218539. The cubic root of 355407444 is about 708.3406624509.

The spelling of 355407444 in words is "three hundred fifty-five million, four hundred seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 521 1042 1563 2084 2707 3126 3647 4689 5414 6252 7294 8121 9378 10828 10941 14588 16242 18756 18949 21882 24363 32484 32823 37898 43764 48726 56847 65646 75796 97452 113694 131292 170541 227388 341082 682164 1410347 2820694 4231041 5641388 8462082 9872429 12693123 16924164 19744858 25386246 29617287 39489716 50772492 59234574 88851861 118469148 177703722 355407444