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342115320 = 233529372657
BaseRepresentation
bin10100011001000…
…100001111111000
3212211202020222210
4110121010033320
51200040142240
653540415120
711322634521
oct2431041770
9784666883
10342115320
1116612a338
12966a74a0
1355b55401
1433617848
152007c780
hex146443f8

342115320 has 128 divisors (see below), whose sum is σ = 1090843200. Its totient is φ = 85671936.

The previous prime is 342115313. The next prime is 342115337. The reversal of 342115320 is 23511243.

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, 127432 + ... + 130088.

Almost surely, 2342115320 is an apocalyptic number.

342115320 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 342115320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545421600).

342115320 is an abundant number, since it is smaller than the sum of its proper divisors (748727880).

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

342115320 is a wasteful number, since it uses less digits than its factorization.

342115320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 342115320 is about 18496.3596418322. The cubic root of 342115320 is about 699.3976587122.

Adding to 342115320 its reverse (23511243), we get a palindrome (365626563).

The spelling of 342115320 in words is "three hundred forty-two million, one hundred fifteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 37 40 58 60 74 87 111 116 120 145 148 174 185 222 232 290 296 348 370 435 444 555 580 696 740 870 888 1073 1110 1160 1480 1740 2146 2220 2657 3219 3480 4292 4440 5314 5365 6438 7971 8584 10628 10730 12876 13285 15942 16095 21256 21460 25752 26570 31884 32190 39855 42920 53140 63768 64380 77053 79710 98309 106280 128760 154106 159420 196618 231159 294927 308212 318840 385265 393236 462318 491545 589854 616424 770530 786472 924636 983090 1155795 1179708 1474635 1541060 1849272 1966180 2311590 2359416 2850961 2949270 3082120 3932360 4623180 5701922 5898540 8552883 9246360 11403844 11797080 14254805 17105766 22807688 28509610 34211532 42764415 57019220 68423064 85528830 114038440 171057660 342115320