Search a number
-
+
334004280 = 233561103443
BaseRepresentation
bin10011111010001…
…000000000111000
3212021111011201220
4103322020000320
51141001114110
653050512040
711163663261
oct2372100070
9767434656
10334004280
1116159a3a5
1293a35620
135427558c
1432505968
151e4c9370
hex13e88038

334004280 has 128 divisors (see below), whose sum is σ = 1030648320. Its totient is φ = 86561280.

The previous prime is 334004269. The next prime is 334004309. The reversal of 334004280 is 82400433.

It is a super-2 number, since 2×3340042802 = 223117718116636800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 334004280.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 753739 + ... + 754181.

It is an arithmetic number, because the mean of its divisors is an integer number (8051940).

Almost surely, 2334004280 is an apocalyptic number.

334004280 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 334004280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515324160).

334004280 is an abundant number, since it is smaller than the sum of its proper divisors (696644040).

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

334004280 is a wasteful number, since it uses less digits than its factorization.

334004280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 334004280 is about 18275.7839777121. The cubic root of 334004280 is about 693.8261710050.

The spelling of 334004280 in words is "three hundred thirty-four million, four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 103 120 122 183 206 244 305 309 366 412 443 488 515 610 618 732 824 886 915 1030 1220 1236 1329 1464 1545 1772 1830 2060 2215 2440 2472 2658 3090 3544 3660 4120 4430 5316 6180 6283 6645 7320 8860 10632 12360 12566 13290 17720 18849 25132 26580 27023 31415 37698 45629 50264 53160 54046 62830 75396 81069 91258 94245 108092 125660 135115 136887 150792 162138 182516 188490 216184 228145 251320 270230 273774 324276 365032 376980 405345 456290 540460 547548 648552 684435 753960 810690 912580 1080920 1095096 1368870 1621380 1825160 2737740 2783369 3242760 5475480 5566738 8350107 11133476 13916845 16700214 22266952 27833690 33400428 41750535 55667380 66800856 83501070 111334760 167002140 334004280