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342409580920 = 235116713983561
BaseRepresentation
bin1001111101110010011…
…00111001000101111000
31012201211010000221212101
410332321030321011320
521102223323042140
6421144545353144
733511141262401
oct4767114710570
91181733027771
10342409580920
11122240311130
12564403387b4
132639b1729a4
14128037449a8
158d909b099a
hex4fb9339178

342409580920 has 128 divisors (see below), whose sum is σ = 859151059200. Its totient is φ = 121770316800.

The previous prime is 342409580917. The next prime is 342409580927. The reversal of 342409580920 is 29085904243.

It is a super-2 number, since 2×3424095809202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342409580927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4055940 + ... + 4139500.

It is an arithmetic number, because the mean of its divisors is an integer number (6712117650).

Almost surely, 2342409580920 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 342409580920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429575529600).

342409580920 is an abundant number, since it is smaller than the sum of its proper divisors (516741478280).

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

342409580920 is a wasteful number, since it uses less digits than its factorization.

342409580920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83789 (or 83785 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

It can be divided in two parts, 342409 and 580920, that added together give a palindrome (923329).

The spelling of 342409580920 in words is "three hundred forty-two billion, four hundred nine million, five hundred eighty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 134 139 220 268 278 335 440 536 556 670 695 737 1112 1340 1390 1474 1529 2680 2780 2948 3058 3685 5560 5896 6116 7370 7645 9313 12232 14740 15290 18626 29480 30580 37252 46565 61160 74504 83561 93130 102443 167122 186260 204886 334244 372520 409772 417805 512215 668488 819544 835610 919171 1024430 1671220 1838342 2048860 3342440 3676684 4097720 4595855 5598587 7353368 9191710 11197174 11614979 18383420 22394348 23229958 27992935 36766840 44788696 46459916 55985870 58074895 61584457 92919832 111971740 116149790 123168914 127764769 223943480 232299580 246337828 255529538 307922285 464599160 492675656 511059076 615844570 638823845 778203593 1022118152 1231689140 1277647690 1556407186 2463378280 2555295380 3112814372 3891017965 5110590760 6225628744 7782035930 8560239523 15564071860 17120479046 31128143720 34240958092 42801197615 68481916184 85602395230 171204790460 342409580920