Search a number
-
+
342034104 = 233232572411
BaseRepresentation
bin10100011000110…
…000011010111000
3212211121010120210
4110120300122320
51200030042404
653534551120
711322145656
oct2430603270
9784533523
10342034104
11166084315
12966684a0
1355b27459
14335d5dd6
1520063689
hex146306b8

342034104 has 64 divisors (see below), whose sum is σ = 896106240. Its totient is φ = 108584960.

The previous prime is 342034009. The next prime is 342034109. The reversal of 342034104 is 401430243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342034109) 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, 140659 + ... + 143069.

It is an arithmetic number, because the mean of its divisors is an integer number (14001660).

Almost surely, 2342034104 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 342034104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448053120).

342034104 is an abundant number, since it is smaller than the sum of its proper divisors (554072136).

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

342034104 is a wasteful number, since it uses less digits than its factorization.

342034104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 342034104 is about 18494.1640524788. The cubic root of 342034104 is about 699.3423101476.

Adding to 342034104 its reverse (401430243), we get a palindrome (743464347).

The spelling of 342034104 in words is "three hundred forty-two million, thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 257 276 514 552 771 1028 1542 2056 2411 3084 4822 5911 6168 7233 9644 11822 14466 17733 19288 23644 28932 35466 47288 55453 57864 70932 110906 141864 166359 221812 332718 443624 619627 665436 1239254 1330872 1858881 2478508 3717762 4957016 7435524 14251421 14871048 28502842 42754263 57005684 85508526 114011368 171017052 342034104