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334744020 = 2232513143053
BaseRepresentation
bin10011111100111…
…100100111010100
3212022212202110200
4103330330213110
51141143302040
653114420500
711203164042
oct2374744724
9768782420
10334744020
11161a55156
1294131730
13544741b0
1432659392
151e5c3630
hex13f3c9d4

334744020 has 72 divisors (see below), whose sum is σ = 1093504776. Its totient is φ = 82397952.

The previous prime is 334744009. The next prime is 334744021. The reversal of 334744020 is 20447433.

It can be written as a sum of positive squares in 4 ways, for example, as 72692676 + 262051344 = 8526^2 + 16188^2 .

It is a super-2 number, since 2×3347440202 = 224107117851520800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334744021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69187 + ... + 73866.

Almost surely, 2334744020 is an apocalyptic number.

334744020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334744020 is an abundant number, since it is smaller than the sum of its proper divisors (758760756).

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

334744020 is a wasteful number, since it uses less digits than its factorization.

334744020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143081 (or 143076 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 334744020 is about 18296.0110406613. The cubic root of 334744020 is about 694.3380132761.

The spelling of 334744020 in words is "three hundred thirty-four million, seven hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 143053 286106 429159 572212 715265 858318 1287477 1430530 1716636 1859689 2145795 2574954 2861060 3719378 4291590 5149908 5579067 6437385 7438756 8583180 9298445 11158134 12874770 16737201 18596890 22316268 25749540 27895335 33474402 37193780 55790670 66948804 83686005 111581340 167372010 334744020