Search a number
-
+
332430400 = 2652207769
BaseRepresentation
bin10011110100000…
…111110001000000
3212011112012210001
4103310013301000
51140100233100
652553045344
711144416561
oct2364076100
9764465701
10332430400
11160714975
12933b6854
1353b440a3
1432216168
151e2b7d6a
hex13d07c40

332430400 has 42 divisors (see below), whose sum is σ = 817990490. Its totient is φ = 132971520.

The previous prime is 332430353. The next prime is 332430401. The reversal of 332430400 is 4034233.

It can be written as a sum of positive squares in 3 ways, for example, as 13307904 + 319122496 = 3648^2 + 17864^2 .

It is a super-2 number, since 2×3324304002 = 221019941688320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332430401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102285 + ... + 105484.

Almost surely, 2332430400 is an apocalyptic number.

It is an amenable number.

332430400 is an abundant number, since it is smaller than the sum of its proper divisors (485560090).

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

332430400 is a wasteful number, since it uses less digits than its factorization.

332430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207791 (or 207776 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 332430400 is about 18232.6739673587. The cubic root of 332430400 is about 692.7346492022.

Adding to 332430400 its reverse (4034233), we get a palindrome (336464633).

The spelling of 332430400 in words is "three hundred thirty-two million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 207769 415538 831076 1038845 1662152 2077690 3324304 4155380 5194225 6648608 8310760 10388450 13297216 16621520 20776900 33243040 41553800 66486080 83107600 166215200 332430400