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355382004 = 223199716069
BaseRepresentation
bin10101001011101…
…011001011110100
3220202201021110110
4111023223023310
51211434211004
655133023020
711543461065
oct2513531364
9822637413
10355382004
1117267083a
129b024a70
135881bb13
14352ac56c
15212ed589
hex152eb2f4

355382004 has 48 divisors (see below), whose sum is σ = 881921600. Its totient is φ = 111062016.

The previous prime is 355381997. The next prime is 355382009. The reversal of 355382004 is 400283553.

355382004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355382009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14082 + ... + 30150.

Almost surely, 2355382004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355382004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440960800).

355382004 is an abundant number, since it is smaller than the sum of its proper divisors (526539596).

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

355382004 is a wasteful number, since it uses less digits than its factorization.

355382004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16192 (or 16190 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 355382004 is about 18851.5782893635. The cubic root of 355382004 is about 708.3237610825.

The spelling of 355382004 in words is "three hundred fifty-five million, three hundred eighty-two thousand, four".

Divisors: 1 2 3 4 6 12 19 38 57 76 97 114 194 228 291 388 582 1164 1843 3686 5529 7372 11058 16069 22116 32138 48207 64276 96414 192828 305311 610622 915933 1221244 1558693 1831866 3117386 3663732 4676079 6234772 9352158 18704316 29615167 59230334 88845501 118460668 177691002 355382004