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334774020 = 223574119441
BaseRepresentation
bin10011111101000…
…011111100000100
3212022221021121210
4103331003330010
51141200232040
653115211420
711203350360
oct2375037404
9768837553
10334774020
11161a75749
1294146b70
1354484a49
14326662a0
151e5cc480
hex13f43f04

334774020 has 96 divisors (see below), whose sum is σ = 1097462016. Its totient is φ = 74649600.

The previous prime is 334774007. The next prime is 334774043. The reversal of 334774020 is 20477433.

It is a super-2 number, since 2×3347740202 = 224147288933920800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7500 + ... + 26940.

It is an arithmetic number, because the mean of its divisors is an integer number (11431896).

Almost surely, 2334774020 is an apocalyptic number.

334774020 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 334774020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548731008).

334774020 is an abundant number, since it is smaller than the sum of its proper divisors (762687996).

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

334774020 is a wasteful number, since it uses less digits than its factorization.

334774020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19501 (or 19499 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 30.

The square root of 334774020 is about 18296.8308731321. The cubic root of 334774020 is about 694.3587550139.

The spelling of 334774020 in words is "three hundred thirty-four million, seven hundred seventy-four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 820 861 1148 1230 1435 1722 2460 2870 3444 4305 5740 8610 17220 19441 38882 58323 77764 97205 116646 136087 194410 233292 272174 291615 388820 408261 544348 583230 680435 797081 816522 1166460 1360870 1594162 1633044 2041305 2391243 2721740 3188324 3985405 4082610 4782486 5579567 7970810 8165220 9564972 11159134 11956215 15941620 16738701 22318268 23912430 27897835 33477402 47824860 55795670 66954804 83693505 111591340 167387010 334774020