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334729980 = 2232513532699
BaseRepresentation
bin10011111100111…
…001001011111100
3212022212001012200
4103330321023330
51141142324410
653114231500
711203105104
oct2374711374
9768761180
10334729980
11161a45652
1294125590
135446a9a0
1432654204
151e5be3c0
hex13f392fc

334729980 has 144 divisors (see below), whose sum is σ = 1114495200. Its totient is φ = 80810496.

The previous prime is 334729933. The next prime is 334729991. The reversal of 334729980 is 89927433.

It is a happy number.

It is a super-2 number, since 2×3347299802 = 224088319021600800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122671 + ... + 125369.

It is an arithmetic number, because the mean of its divisors is an integer number (7739550).

Almost surely, 2334729980 is an apocalyptic number.

334729980 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 334729980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557247600).

334729980 is an abundant number, since it is smaller than the sum of its proper divisors (779765220).

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

334729980 is a wasteful number, since it uses less digits than its factorization.

334729980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 334729980 is about 18295.6273464454. The cubic root of 334729980 is about 694.3283057170.

The spelling of 334729980 in words is "three hundred thirty-four million, seven hundred twenty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 53 60 65 78 90 106 117 130 156 159 180 195 212 234 260 265 318 390 468 477 530 585 636 689 780 795 954 1060 1170 1378 1590 1908 2067 2340 2385 2699 2756 3180 3445 4134 4770 5398 6201 6890 8097 8268 9540 10335 10796 12402 13495 13780 16194 20670 24291 24804 26990 31005 32388 35087 40485 41340 48582 53980 62010 70174 80970 97164 105261 121455 124020 140348 143047 161940 175435 210522 242910 286094 315783 350870 421044 429141 485820 526305 572188 631566 701740 715235 858282 1052610 1263132 1287423 1430470 1578915 1716564 1859611 2105220 2145705 2574846 2860940 3157830 3719222 4291410 5149692 5578833 6315660 6437115 7438444 8582820 9298055 11157666 12874230 16736499 18596110 22315332 25748460 27894165 33472998 37192220 55788330 66945996 83682495 111576660 167364990 334729980