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334890150 = 235271971619
BaseRepresentation
bin10011111101100…
…000010010100110
3212100011011220220
4103331200102212
51141212441100
653121505210
711204343060
oct2375402246
9770134826
10334890150
11162044a21
12941a2206
13544c586a
1432696730
151e601aa0
hex13f604a6

334890150 has 96 divisors (see below), whose sum is σ = 954581760. Its totient is φ = 76110720.

The previous prime is 334890137. The next prime is 334890151. The reversal of 334890150 is 51098433.

334890150 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3348901502 = 224302825134045000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334890151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206041 + ... + 207659.

It is an arithmetic number, because the mean of its divisors is an integer number (9943560).

Almost surely, 2334890150 is an apocalyptic number.

334890150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 334890150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477290880).

334890150 is an abundant number, since it is smaller than the sum of its proper divisors (619691610).

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

334890150 is a wasteful number, since it uses less digits than its factorization.

334890150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 334890150 is about 18300.0040983602. The cubic root of 334890150 is about 694.4390346008.

The spelling of 334890150 in words is "three hundred thirty-four million, eight hundred ninety thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 197 210 350 394 525 591 985 1050 1182 1379 1619 1970 2758 2955 3238 4137 4857 4925 5910 6895 8095 8274 9714 9850 11333 13790 14775 16190 20685 22666 24285 29550 33999 34475 40475 41370 48570 56665 67998 68950 80950 103425 113330 121425 169995 206850 242850 283325 318943 339990 566650 637886 849975 956829 1594715 1699950 1913658 2232601 3189430 4465202 4784145 6697803 7973575 9568290 11163005 13395606 15947150 22326010 23920725 33489015 47841450 55815025 66978030 111630050 167445075 334890150