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352125024 = 25319193051
BaseRepresentation
bin10100111111010…
…000000001100000
3220112120210201120
4110333100001200
51210121000044
654535132240
711504004366
oct2477200140
9815523646
10352125024
11170846819
1299b14080
1357c4b504
1434aa1636
1520da8519
hex14fd0060

352125024 has 48 divisors (see below), whose sum is σ = 972982080. Its totient is φ = 111196800.

The previous prime is 352125013. The next prime is 352125031. The reversal of 352125024 is 420521253.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 352124985 and 352125003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94702 + ... + 98349.

It is an arithmetic number, because the mean of its divisors is an integer number (20270460).

Almost surely, 2352125024 is an apocalyptic number.

It is an amenable number.

352125024 is an abundant number, since it is smaller than the sum of its proper divisors (620857056).

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

352125024 is a wasteful number, since it uses less digits than its factorization.

352125024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193083 (or 193075 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 352125024 is about 18764.9946442838. The cubic root of 352125024 is about 706.1532515395.

Adding to 352125024 its reverse (420521253), we get a palindrome (772646277).

The spelling of 352125024 in words is "three hundred fifty-two million, one hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 193051 386102 579153 772204 1158306 1544408 2316612 3088816 3667969 4633224 6177632 7335938 9266448 11003907 14671876 18532896 22007814 29343752 44015628 58687504 88031256 117375008 176062512 352125024