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340765740 = 2232572291181
BaseRepresentation
bin10100010011111…
…010110000101100
3212202012200201100
4110103322300230
51144214000430
653451443100
711305314060
oct2423726054
9782180640
10340765740
11165398387
1296156490
13557a2043
1433385aa0
151edb2960
hex144fac2c

340765740 has 144 divisors (see below), whose sum is σ = 1187484480. Its totient is φ = 77483520.

The previous prime is 340765721. The next prime is 340765751. The reversal of 340765740 is 47567043.

It is a super-2 number, since 2×3407657402 = 232242579115495200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 340765695 and 340765704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287950 + ... + 289130.

It is an arithmetic number, because the mean of its divisors is an integer number (8246420).

Almost surely, 2340765740 is an apocalyptic number.

340765740 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 340765740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593742240).

340765740 is an abundant number, since it is smaller than the sum of its proper divisors (846718740).

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

340765740 is a wasteful number, since it uses less digits than its factorization.

340765740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 340765740 is about 18459.8412777575. The cubic root of 340765740 is about 698.4767830855.

The spelling of 340765740 in words is "three hundred forty million, seven hundred sixty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 229 252 315 420 458 630 687 916 1145 1181 1260 1374 1603 2061 2290 2362 2748 3206 3435 3543 4122 4580 4724 4809 5905 6412 6870 7086 8015 8244 8267 9618 10305 10629 11810 13740 14172 14427 16030 16534 17715 19236 20610 21258 23620 24045 24801 28854 32060 33068 35430 41220 41335 42516 48090 49602 53145 57708 70860 72135 74403 82670 96180 99204 106290 124005 144270 148806 165340 212580 248010 270449 288540 297612 372015 496020 540898 744030 811347 1081796 1352245 1488060 1622694 1893143 2434041 2704490 3245388 3786286 4056735 4868082 5408980 5679429 7572572 8113470 9465715 9736164 11358858 12170205 16226940 17038287 18931430 22717716 24340410 28397145 34076574 37862860 48680820 56794290 68153148 85191435 113588580 170382870 340765740