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334034514 = 2321153139229
BaseRepresentation
bin10011111010001…
…111011001010010
3212021112201012200
4103322033121102
51141003101024
653051304030
711164150362
oct2372173122
9767481180
10334034514
11161610090
1293a4b016
1354286278
14325129a2
151e4d32c9
hex13e8f652

334034514 has 96 divisors (see below), whose sum is σ = 813758400. Its totient is φ = 98167680.

The previous prime is 334034509. The next prime is 334034521. The reversal of 334034514 is 415430433.

It is a super-2 number, since 2×3340345142 = 223158113086432392, which contains 22 as substring.

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, 1458552 + ... + 1458780.

It is an arithmetic number, because the mean of its divisors is an integer number (8476650).

Almost surely, 2334034514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334034514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406879200).

334034514 is an abundant number, since it is smaller than the sum of its proper divisors (479723886).

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

334034514 is a wasteful number, since it uses less digits than its factorization.

334034514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 334034514 is about 18276.6111191326. The cubic root of 334034514 is about 693.8471053750.

Adding to 334034514 its reverse (415430433), we get a palindrome (749464947).

The spelling of 334034514 in words is "three hundred thirty-four million, thirty-four thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 139 159 198 229 278 318 417 458 477 583 687 834 954 1166 1251 1374 1529 1749 2061 2502 2519 3058 3498 4122 4587 5038 5247 7367 7557 9174 10494 12137 13761 14734 15114 22101 22671 24274 27522 31831 36411 44202 45342 63662 66303 72822 81037 95493 109233 132606 133507 162074 190986 218466 243111 267014 286479 350141 400521 486222 572958 700282 729333 801042 1050423 1201563 1458666 1687043 2100846 2403126 3151269 3374086 5061129 6302538 10122258 15183387 18557473 30366774 37114946 55672419 111344838 167017257 334034514