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340096120 = 235713233401
BaseRepresentation
bin10100010001010…
…111010001111000
3212200221200011121
4110101113101320
51144031033440
653425235024
711266524610
oct2421272170
9780850147
10340096120
11164a80281
1295a92a74
13555c9310
143324da40
151ecce34a
hex14457478

340096120 has 128 divisors (see below), whose sum is σ = 948205440. Its totient is φ = 106905600.

The previous prime is 340096111. The next prime is 340096151. The reversal of 340096120 is 21690043.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 847920 + ... + 848320.

It is an arithmetic number, because the mean of its divisors is an integer number (7407855).

Almost surely, 2340096120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340096120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474102720).

340096120 is an abundant number, since it is smaller than the sum of its proper divisors (608109320).

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

340096120 is a wasteful number, since it uses less digits than its factorization.

340096120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 340096120 is about 18441.6951498500. The cubic root of 340096120 is about 698.0189703194.

The spelling of 340096120 in words is "three hundred forty million, ninety-six thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 233 260 280 364 401 455 466 520 728 802 910 932 1165 1604 1631 1820 1864 2005 2330 2807 3029 3208 3262 3640 4010 4660 5213 5614 6058 6524 8020 8155 9320 10426 11228 12116 13048 14035 15145 16040 16310 20852 21203 22456 24232 26065 28070 30290 32620 36491 41704 42406 52130 56140 60580 65240 72982 84812 93433 104260 106015 112280 121160 145964 169624 182455 186866 208520 212030 291928 364910 373732 424060 467165 654031 729820 747464 848120 934330 1214629 1308062 1459640 1868660 2429258 2616124 3270155 3737320 4858516 5232248 6073145 6540310 8502403 9717032 12146290 13080620 17004806 24292580 26161240 34009612 42512015 48585160 68019224 85024030 170048060 340096120