Search a number
-
+
355123440 = 2434577829
BaseRepresentation
bin10101001010101…
…100000011110000
3220202020010210000
4111022230003300
51211402422230
655123310000
711541333210
oct2512540360
9822203700
10355123440
11172504551
129ab1b300
135875b219
1435242240
152129bb60
hex152ac0f0

355123440 has 200 divisors, whose sum is σ = 1409775840. Its totient is φ = 81160704.

The previous prime is 355123409. The next prime is 355123451. The reversal of 355123440 is 44321553.

It is a super-2 number, since 2×3551234402 = 252225315274867200, which contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41446 + ... + 49274.

Almost surely, 2355123440 is an apocalyptic number.

355123440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704887920).

355123440 is an abundant number, since it is smaller than the sum of its proper divisors (1054652400).

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

355123440 is a wasteful number, since it uses less digits than its factorization.

355123440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7861 (or 7846 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 355123440 is about 18844.7191541822. The cubic root of 355123440 is about 708.1519352180.

Adding to 355123440 its reverse (44321553), we get a palindrome (399444993).

The spelling of 355123440 in words is "three hundred fifty-five million, one hundred twenty-three thousand, four hundred forty".