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354442000 = 24531116111
BaseRepresentation
bin10101001000000…
…101101100010000
3220200221112000111
4111020011230100
51211214121000
655100531104
711532464413
oct2510055420
9820845014
10354442000
11172089580
129a850a94
135857ccc3
1435105b7a
15211b4cba
hex15205b10

354442000 has 80 divisors (see below), whose sum is σ = 935011584. Its totient is φ = 128880000.

The previous prime is 354441943. The next prime is 354442001. The reversal of 354442000 is 244453.

It is a happy number.

354442000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (354442001) 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, 13945 + ... + 30055.

Almost surely, 2354442000 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 354442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467505792).

354442000 is an abundant number, since it is smaller than the sum of its proper divisors (580569584).

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

354442000 is a wasteful number, since it uses less digits than its factorization.

354442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16145 (or 16129 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 354442000 is about 18826.6300755074. The cubic root of 354442000 is about 707.6986918381.

Adding to 354442000 its reverse (244453), we get a palindrome (354686453).

The spelling of 354442000 in words is "three hundred fifty-four million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 16111 22000 32222 64444 80555 128888 161110 177221 257776 322220 354442 402775 644440 708884 805550 886105 1288880 1417768 1611100 1772210 2013875 2835536 3222200 3544420 4027750 4430525 6444400 7088840 8055500 8861050 14177680 16111000 17722100 22152625 32222000 35444200 44305250 70888400 88610500 177221000 354442000