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350065140 = 2235371371151
BaseRepresentation
bin10100110111011…
…001000111110100
3220101201011002120
4110313121013310
51204104041030
654423035540
711450335035
oct2467310764
9811634076
10350065140
1116a66a137
129929bbb0
13576a9a49
14346c6a8c
1520aed010
hex14dd91f4

350065140 has 96 divisors (see below), whose sum is σ = 1014902784. Its totient is φ = 90086400.

The previous prime is 350065123. The next prime is 350065171. The reversal of 350065140 is 41560053.

It is a self number, because there is not a number n which added to its sum of digits gives 350065140.

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, 303565 + ... + 304715.

It is an arithmetic number, because the mean of its divisors is an integer number (10571904).

Almost surely, 2350065140 is an apocalyptic number.

350065140 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 350065140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507451392).

350065140 is an abundant number, since it is smaller than the sum of its proper divisors (664837644).

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

350065140 is a wasteful number, since it uses less digits than its factorization.

350065140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 350065140 is about 18710.0277926036. The cubic root of 350065140 is about 704.7735905934.

The spelling of 350065140 in words is "three hundred fifty million, sixty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 137 148 185 222 274 370 411 444 548 555 685 740 822 1110 1151 1370 1644 2055 2220 2302 2740 3453 4110 4604 5069 5755 6906 8220 10138 11510 13812 15207 17265 20276 23020 25345 30414 34530 42587 50690 60828 69060 76035 85174 101380 127761 152070 157687 170348 212935 255522 304140 315374 425870 473061 511044 630748 638805 788435 851740 946122 1277610 1576870 1892244 2365305 2555220 3153740 4730610 5834419 9461220 11668838 17503257 23337676 29172095 35006514 58344190 70013028 87516285 116688380 175032570 350065140