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340342040 = 235172347463
BaseRepresentation
bin10100010010010…
…011010100011000
3212201102011111202
4110102103110120
51144111421130
653434413332
711301600563
oct2422232430
9781364452
10340342040
11165129015
1295b91248
135568422c
14332b54da
151ed2c145
hex14493518

340342040 has 128 divisors (see below), whose sum is σ = 865935360. Its totient is φ = 119691264.

The previous prime is 340342027. The next prime is 340342043. The reversal of 340342040 is 40243043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340342043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 734849 + ... + 735311.

It is an arithmetic number, because the mean of its divisors is an integer number (6765120).

Almost surely, 2340342040 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 340342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432967680).

340342040 is an abundant number, since it is smaller than the sum of its proper divisors (525593320).

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

340342040 is a wasteful number, since it uses less digits than its factorization.

340342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 340342040 is about 18448.3614448547. The cubic root of 340342040 is about 698.1871732256.

Adding to 340342040 its reverse (40243043), we get a palindrome (380585083).

The spelling of 340342040 in words is "three hundred forty million, three hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 47 68 85 92 94 115 136 170 184 188 230 235 340 376 391 460 463 470 680 782 799 920 926 940 1081 1564 1598 1852 1880 1955 2162 2315 3128 3196 3704 3910 3995 4324 4630 5405 6392 7820 7871 7990 8648 9260 10649 10810 15640 15742 15980 18377 18520 21298 21620 21761 31484 31960 36754 39355 42596 43240 43522 53245 62968 73508 78710 85192 87044 91885 106490 108805 147016 157420 174088 181033 183770 212980 217610 314840 362066 367540 369937 425960 435220 500503 724132 735080 739874 870440 905165 1001006 1448264 1479748 1810330 1849685 2002012 2502515 2959496 3620660 3699370 4004024 5005030 7241320 7398740 8508551 10010060 14797480 17017102 20020120 34034204 42542755 68068408 85085510 170171020 340342040