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334130100 = 2235210191093
BaseRepresentation
bin10011111010100…
…110101110110100
3212021201120022220
4103322212232310
51141014130400
653053322340
711165026143
oct2372465664
9767646286
10334130100
11161675987
1293a963b0
13542ba925
143253975a
151e5017a0
hex13ea6bb4

334130100 has 72 divisors (see below), whose sum is σ = 968583840. Its totient is φ = 88932480.

The previous prime is 334130099. The next prime is 334130101. The reversal of 334130100 is 1031433.

334130100 = T245 + T246 + ... + T1263.

It is an interprime number because it is at equal distance from previous prime (334130099) and next prime (334130101).

It is a super-2 number, since 2×3341301002 = 223285847452020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 334130100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334130101) 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, 305154 + ... + 306246.

Almost surely, 2334130100 is an apocalyptic number.

334130100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334130100 is an abundant number, since it is smaller than the sum of its proper divisors (634453740).

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

334130100 is a wasteful number, since it uses less digits than its factorization.

334130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 334130100 is about 18279.2259135884. The cubic root of 334130100 is about 693.9132819141.

Adding to 334130100 its reverse (1031433), we get a palindrome (335161533).

The spelling of 334130100 in words is "three hundred thirty-four million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1019 1093 2038 2186 3057 3279 4076 4372 5095 5465 6114 6558 10190 10930 12228 13116 15285 16395 20380 21860 25475 27325 30570 32790 50950 54650 61140 65580 76425 81975 101900 109300 152850 163950 305700 327900 1113767 2227534 3341301 4455068 5568835 6682602 11137670 13365204 16706505 22275340 27844175 33413010 55688350 66826020 83532525 111376700 167065050 334130100