Search a number
-
+
352343040 = 21035729113
BaseRepresentation
bin10101000000000…
…101010000000000
3220112222212210020
4111000011100000
51210144434130
654543533440
711505603120
oct2500052000
9815885706
10352343040
111709855a5
1299bba280
1357cc680a
1434b1ac80
1520dece10
hex15005400

352343040 has 352 divisors, whose sum is σ = 1344142080. Its totient is φ = 77070336.

The previous prime is 352343029. The next prime is 352343059. The reversal of 352343040 is 40343253.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 352343040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3118024 + ... + 3118136.

Almost surely, 2352343040 is an apocalyptic number.

352343040 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 352343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672071040).

352343040 is an abundant number, since it is smaller than the sum of its proper divisors (991799040).

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

352343040 is a wasteful number, since it uses less digits than its factorization.

352343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 352343040 is about 18770.8028597607. The cubic root of 352343040 is about 706.2989582580.

Adding to 352343040 its reverse (40343253), we get a palindrome (392686293).

The spelling of 352343040 in words is "three hundred fifty-two million, three hundred forty-three thousand, forty".