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350349720 = 233571133691
BaseRepresentation
bin10100111000011…
…110100110011000
3220102020121110120
4110320132212120
51204142142340
654433113240
711452631520
oct2470364630
9812217416
10350349720
1116a843a26
12993b8820
1357779436
143475c680
1520b574d0
hex14e1e998

350349720 has 128 divisors (see below), whose sum is σ = 1212157440. Its totient is φ = 79349760.

The previous prime is 350349691. The next prime is 350349733. The reversal of 350349720 is 27943053.

It is a happy number.

350349720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93075 + ... + 96765.

It is an arithmetic number, because the mean of its divisors is an integer number (9469980).

Almost surely, 2350349720 is an apocalyptic number.

350349720 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 350349720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606078720).

350349720 is an abundant number, since it is smaller than the sum of its proper divisors (861807720).

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

350349720 is a wasteful number, since it uses less digits than its factorization.

350349720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 350349720 is about 18717.6312603919. The cubic root of 350349720 is about 704.9645171015.

The spelling of 350349720 in words is "three hundred fifty million, three hundred forty-nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 113 120 140 168 210 226 280 339 420 452 565 678 791 840 904 1130 1356 1582 1695 2260 2373 2712 3164 3390 3691 3955 4520 4746 6328 6780 7382 7910 9492 11073 11865 13560 14764 15820 18455 18984 22146 23730 25837 29528 31640 36910 44292 47460 51674 55365 73820 77511 88584 94920 103348 110730 129185 147640 155022 206696 221460 258370 310044 387555 417083 442920 516740 620088 775110 834166 1033480 1251249 1550220 1668332 2085415 2502498 2919581 3100440 3336664 4170830 5004996 5839162 6256245 8341660 8758743 10009992 11678324 12512490 14597905 16683320 17517486 23356648 25024980 29195810 35034972 43793715 50049960 58391620 70069944 87587430 116783240 175174860 350349720