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336972690 = 23353789379
BaseRepresentation
bin10100000101011…
…100101110010010
3212111001222122000
4110011130232102
51142231111230
653234254430
711231135445
oct2405345622
9774058560
10336972690
1116323762a
1294a27416
1354a74732
1432a7965c
151e8b3b60
hex1415cb92

336972690 has 128 divisors (see below), whose sum is σ = 935712000. Its totient is φ = 86220288.

The previous prime is 336972689. The next prime is 336972719. The reversal of 336972690 is 96279633.

It is a super-2 number, since 2×3369726902 = 227101187611672200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 888921 + ... + 889299.

It is an arithmetic number, because the mean of its divisors is an integer number (7310250).

Almost surely, 2336972690 is an apocalyptic number.

336972690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 336972690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467856000).

336972690 is an abundant number, since it is smaller than the sum of its proper divisors (598739310).

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

336972690 is a wasteful number, since it uses less digits than its factorization.

336972690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 336972690 is about 18356.8159003679. The cubic root of 336972690 is about 695.8755351156.

The spelling of 336972690 in words is "three hundred thirty-six million, nine hundred seventy-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 89 90 111 135 178 185 222 267 270 333 370 379 445 534 555 666 758 801 890 999 1110 1137 1335 1602 1665 1895 1998 2274 2403 2670 3293 3330 3411 3790 4005 4806 4995 5685 6586 6822 8010 9879 9990 10233 11370 12015 14023 16465 17055 19758 20466 24030 28046 29637 32930 33731 34110 42069 49395 51165 59274 67462 70115 84138 88911 98790 101193 102330 126207 140230 148185 168655 177822 202386 210345 252414 296370 303579 337310 378621 420690 444555 505965 607158 631035 757242 889110 910737 1011930 1248047 1262070 1517895 1821474 1893105 2496094 3035790 3744141 3786210 4553685 6240235 7488282 9107370 11232423 12480470 18720705 22464846 33697269 37441410 56162115 67394538 112324230 168486345 336972690