Search a number
-
+
334928300 = 225272371293
BaseRepresentation
bin10011111101101…
…001100110101100
3212100020010020212
4103331221212230
51141220201200
653122401552
711204562230
oct2375514654
9770203225
10334928300
11162070653
12942002b8
135450a035
14326a65c0
151e60d035
hex13f699ac

334928300 has 144 divisors (see below), whose sum is σ = 881943552. Its totient is φ = 107923200.

The previous prime is 334928299. The next prime is 334928327. The reversal of 334928300 is 3829433.

It is a happy number.

It is a super-2 number, since 2×3349283002 = 224353932281780000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1142954 + ... + 1143246.

It is an arithmetic number, because the mean of its divisors is an integer number (6124608).

Almost surely, 2334928300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334928300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440971776).

334928300 is an abundant number, since it is smaller than the sum of its proper divisors (547015252).

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

334928300 is a wasteful number, since it uses less digits than its factorization.

334928300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 334928300 is about 18301.0464181696. The cubic root of 334928300 is about 694.4654032904.

The spelling of 334928300 in words is "three hundred thirty-four million, nine hundred twenty-eight thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 71 92 100 115 140 142 161 175 230 284 293 322 350 355 460 497 575 586 644 700 710 805 994 1150 1172 1420 1465 1610 1633 1775 1988 2051 2300 2485 2930 3220 3266 3550 4025 4102 4970 5860 6532 6739 7100 7325 8050 8165 8204 9940 10255 11431 12425 13478 14650 16100 16330 20510 20803 22862 24850 26956 29300 32660 33695 40825 41020 41606 45724 47173 49700 51275 57155 67390 81650 83212 94346 102550 104015 114310 134780 145621 163300 168475 188692 205100 208030 228620 235865 285775 291242 336950 416060 471730 478469 520075 571550 582484 673900 728105 943460 956938 1040150 1143100 1179325 1456210 1913876 2080300 2358650 2392345 2912420 3349283 3640525 4717300 4784690 6698566 7281050 9569380 11961725 13397132 14562100 16746415 23923450 33492830 47846900 66985660 83732075 167464150 334928300