Search a number
-
+
352455480 = 2332513127593
BaseRepresentation
bin10101000000100…
…000101100111000
3220120012121000200
4111000200230320
51210212033410
654550202200
711506551666
oct2500405470
9816177020
10352455480
11170a52023
129a053360
1358035a50
1434b49c36
1520e213c0
hex15020b38

352455480 has 192 divisors, whose sum is σ = 1245404160. Its totient is φ = 85929984.

The previous prime is 352455479. The next prime is 352455487. The reversal of 352455480 is 84554253.

352455480 is a `hidden beast` number, since 3 + 5 + 24 + 554 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352455487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594064 + ... + 594656.

It is an arithmetic number, because the mean of its divisors is an integer number (6486480).

Almost surely, 2352455480 is an apocalyptic number.

352455480 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 352455480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622702080).

352455480 is an abundant number, since it is smaller than the sum of its proper divisors (892948680).

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

352455480 is a wasteful number, since it uses less digits than its factorization.

352455480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 352455480 is about 18773.7976978554. The cubic root of 352455480 is about 706.3740818351.

The spelling of 352455480 in words is "three hundred fifty-two million, four hundred fifty-five thousand, four hundred eighty".