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330104340 = 2232516311251
BaseRepresentation
bin10011101011001…
…111111000010100
3212000011001000200
4103223033320110
51134001314330
652431140500
711115561216
oct2353177024
9760131020
10330104340
1115a376305
1292674730
135350b417
1431bac5b6
151dea8a60
hex13acfe14

330104340 has 72 divisors (see below), whose sum is σ = 1007549088. Its totient is φ = 87480000.

The previous prime is 330104323. The next prime is 330104371. The reversal of 330104340 is 43401033.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23715 + ... + 34965.

Almost surely, 2330104340 is an apocalyptic number.

330104340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330104340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503774544).

330104340 is an abundant number, since it is smaller than the sum of its proper divisors (677444748).

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

330104340 is a wasteful number, since it uses less digits than its factorization.

330104340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11429 (or 11424 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 330104340 is about 18168.7737615944. The cubic root of 330104340 is about 691.1151469992.

Adding to 330104340 its reverse (43401033), we get a palindrome (373505373).

The spelling of 330104340 in words is "three hundred thirty million, one hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 163 180 326 489 652 815 978 1467 1630 1956 2445 2934 3260 4890 5868 7335 9780 11251 14670 22502 29340 33753 45004 56255 67506 101259 112510 135012 168765 202518 225020 337530 405036 506295 675060 1012590 1833913 2025180 3667826 5501739 7335652 9169565 11003478 16505217 18339130 22006956 27508695 33010434 36678260 55017390 66020868 82526085 110034780 165052170 330104340