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358245380 = 225194012351
BaseRepresentation
bin10101010110100…
…110010000000100
3220222002202021102
4111112212100010
51213202323010
655314235232
711610015113
oct2526462004
9828082242
10358245380
11174247069
129bb85b18
13592b221c
1435815c7a
15216b6ba5
hex155a6404

358245380 has 48 divisors (see below), whose sum is σ = 794223360. Its totient is φ = 135360000.

The previous prime is 358245379. The next prime is 358245389. The reversal of 358245380 is 83542853.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (358245389) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 151205 + ... + 153555.

It is an arithmetic number, because the mean of its divisors is an integer number (16546320).

Almost surely, 2358245380 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 358245380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397111680).

358245380 is an abundant number, since it is smaller than the sum of its proper divisors (435977980).

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

358245380 is a wasteful number, since it uses less digits than its factorization.

358245380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 358245380 is about 18927.3711856665. The cubic root of 358245380 is about 710.2210381022.

It can be divided in two parts, 35 and 8245380, that multiplied together give a triangular number (288588300 = T24024).

The spelling of 358245380 in words is "three hundred fifty-eight million, two hundred forty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 401 802 1604 2005 2351 4010 4702 7619 8020 9404 11755 15238 23510 30476 38095 44669 47020 76190 89338 152380 178676 223345 446690 893380 942751 1885502 3771004 4713755 9427510 17912269 18855020 35824538 71649076 89561345 179122690 358245380