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349850004 = 2237217311129
BaseRepresentation
bin10100110110100…
…100100110010100
3220101022012222120
4110312210212110
51204030200004
654414255540
711445450600
oct2466444624
9811265876
10349850004
1116a532539
12991b75b0
1357632b4a
143466c500
1520aa93d9
hex14da4994

349850004 has 144 divisors (see below), whose sum is σ = 1038804480. Its totient is φ = 90961920.

The previous prime is 349849967. The next prime is 349850009. The reversal of 349850004 is 400058943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349850009) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 309312 + ... + 310440.

It is an arithmetic number, because the mean of its divisors is an integer number (7213920).

Almost surely, 2349850004 is an apocalyptic number.

349850004 is a gapful number since it is divisible by the number (34) 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 349850004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519402240).

349850004 is an abundant number, since it is smaller than the sum of its proper divisors (688954476).

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

349850004 is a wasteful number, since it uses less digits than its factorization.

349850004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 349850004 is about 18704.2776925494. The cubic root of 349850004 is about 704.6291858101.

The spelling of 349850004 in words is "three hundred forty-nine million, eight hundred fifty thousand, four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 31 34 42 49 51 62 68 84 93 98 102 119 124 147 186 196 204 217 238 294 357 372 434 476 527 588 651 714 833 868 1054 1129 1302 1428 1519 1581 1666 2108 2258 2499 2604 3038 3162 3332 3387 3689 4516 4557 4998 6076 6324 6774 7378 7903 9114 9996 11067 13548 14756 15806 18228 19193 22134 23709 25823 31612 34999 38386 44268 47418 51646 55321 57579 69998 76772 77469 94836 103292 104997 110642 115158 134351 139996 154938 165963 209994 221284 230316 244993 268702 309876 331926 403053 419988 489986 537404 594983 663852 734979 806106 940457 979972 1189966 1469958 1612212 1714951 1784949 1880914 2379932 2821371 2939916 3429902 3569898 3761828 4164881 5144853 5642742 6859804 7139796 8329762 10289706 11285484 12494643 16659524 20579412 24989286 29154167 49978572 58308334 87462501 116616668 174925002 349850004