Search a number
-
+
352650480 = 243571367241
BaseRepresentation
bin10101000001010…
…000010011110000
3220120120111111220
4111001100103300
51210234303410
654554305040
711511323340
oct2501202360
9816514456
10352650480
11171075586
129a128180
13580a3730
1434b9ad20
1520e5e070
hex150504f0

352650480 has 320 divisors, whose sum is σ = 1371245568. Its totient is φ = 72990720.

The previous prime is 352650461. The next prime is 352650481. The reversal of 352650480 is 84056253.

It is a super-2 number, since 2×3526504802 = 248724722088460800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352650481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1463160 + ... + 1463400.

Almost surely, 2352650480 is an apocalyptic number.

352650480 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 352650480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685622784).

352650480 is an abundant number, since it is smaller than the sum of its proper divisors (1018595088).

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

352650480 is a wasteful number, since it uses less digits than its factorization.

352650480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 352650480 is about 18778.9903881971. The cubic root of 352650480 is about 706.5043276476.

The spelling of 352650480 in words is "three hundred fifty-two million, six hundred fifty thousand, four hundred eighty".