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350916342 = 237231139277
BaseRepresentation
bin10100111010101…
…000111011110110
3220110022101201120
4110322220323312
51204313310332
654453204410
711460511500
oct2472507366
9813271646
10350916342
111700a0707
1299630706
135791730a
1434868d70
1520c1a32c
hex14ea8ef6

350916342 has 96 divisors (see below), whose sum is σ = 851880960. Its totient is φ = 95981760.

The previous prime is 350916337. The next prime is 350916353. The reversal of 350916342 is 243619053.

350916342 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3509163423 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1266708 + ... + 1266984.

It is an arithmetic number, because the mean of its divisors is an integer number (8873760).

Almost surely, 2350916342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350916342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425940480).

350916342 is an abundant number, since it is smaller than the sum of its proper divisors (500964618).

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

350916342 is a wasteful number, since it uses less digits than its factorization.

350916342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 350916342 is about 18732.7611952963. The cubic root of 350916342 is about 705.3443597102.

The spelling of 350916342 in words is "three hundred fifty million, nine hundred sixteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 139 147 186 217 277 278 294 417 434 554 651 831 834 973 1302 1519 1662 1939 1946 2919 3038 3878 4309 4557 5817 5838 6811 8587 8618 9114 11634 12927 13573 13622 17174 20433 25761 25854 27146 30163 38503 40719 40866 51522 60109 60326 77006 81438 90489 115509 120218 180327 180978 211141 231018 269521 360654 420763 422282 539042 633423 808563 841526 1193593 1262289 1266846 1617126 1886647 2387186 2524578 3580779 3773294 5659941 7161558 8355151 11319882 16710302 25065453 50130906 58486057 116972114 175458171 350916342