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332506420 = 22537449333
BaseRepresentation
bin10011110100011…
…010010100110100
3212011200002001121
4103310122110310
51140110201140
652554433324
711145154321
oct2364322464
9764602047
10332506420
11160766aa4
1293432844
1353b6c87c
1432235b48
151e2d064a
hex13d1a534

332506420 has 24 divisors (see below), whose sum is σ = 717137064. Its totient is φ = 129407616.

The previous prime is 332506411. The next prime is 332506439. The reversal of 332506420 is 24605233.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 88021924 + 244484496 = 9382^2 + 15636^2 .

It is a super-2 number, since 2×3325064202 = 221121038682432800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223927 + ... + 225406.

It is an arithmetic number, because the mean of its divisors is an integer number (29880711).

Almost surely, 2332506420 is an apocalyptic number.

It is an amenable number.

332506420 is an abundant number, since it is smaller than the sum of its proper divisors (384630644).

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

332506420 is a wasteful number, since it uses less digits than its factorization.

332506420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449379 (or 449377 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 332506420 is about 18234.7585670883. The cubic root of 332506420 is about 692.7874499031.

The spelling of 332506420 in words is "three hundred thirty-two million, five hundred six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 449333 898666 1797332 2246665 4493330 8986660 16625321 33250642 66501284 83126605 166253210 332506420