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342213040 = 245132811171
BaseRepresentation
bin10100011001011…
…100000110110000
3212211221020001001
4110121130012300
51200101304130
653542451344
711323522441
oct2431340660
9784836031
10342213040
111661967a4
1296733b54
1355b8aa30
14336412c8
152009b6ca
hex1465c1b0

342213040 has 80 divisors (see below), whose sum is σ = 860632416. Its totient is φ = 125798400.

The previous prime is 342213031. The next prime is 342213041. The reversal of 342213040 is 40312243.

342213040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 342212999 and 342213017.

It is not an unprimeable number, because it can be changed into a prime (342213041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291655 + ... + 292825.

Almost surely, 2342213040 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 342213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430316208).

342213040 is an abundant number, since it is smaller than the sum of its proper divisors (518419376).

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

342213040 is a wasteful number, since it uses less digits than its factorization.

342213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 342213040 is about 18499.0010541110. The cubic root of 342213040 is about 699.4642431152.

Adding to 342213040 its reverse (40312243), we get a palindrome (382525283).

The spelling of 342213040 in words is "three hundred forty-two million, two hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 281 520 562 1040 1124 1171 1405 2248 2342 2810 3653 4496 4684 5620 5855 7306 9368 11240 11710 14612 15223 18265 18736 22480 23420 29224 30446 36530 46840 58448 60892 73060 76115 93680 121784 146120 152230 243568 292240 304460 329051 608920 658102 1217840 1316204 1645255 2632408 3290510 4277663 5264816 6581020 8555326 13162040 17110652 21388315 26324080 34221304 42776630 68442608 85553260 171106520 342213040