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342001504 = 25134491831
BaseRepresentation
bin10100011000101…
…000011101100000
3212211112110212101
4110120220131200
51200023022004
653534140144
711321651635
oct2430503540
9784473771
10342001504
11166061879
1296651654
1355b15670
14335c818c
1520058ba4
hex14628760

342001504 has 48 divisors (see below), whose sum is σ = 727120800. Its totient is φ = 157409280.

The previous prime is 342001493. The next prime is 342001511. The reversal of 342001504 is 405100243.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 185869 + ... + 187699.

It is an arithmetic number, because the mean of its divisors is an integer number (15148350).

Almost surely, 2342001504 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 342001504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363560400).

342001504 is an abundant number, since it is smaller than the sum of its proper divisors (385119296).

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

342001504 is a wasteful number, since it uses less digits than its factorization.

342001504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 342001504 is about 18493.2826723651. The cubic root of 342001504 is about 699.3200908393.

Adding to 342001504 its reverse (405100243), we get a palindrome (747101747).

The spelling of 342001504 in words is "three hundred forty-two million, one thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 449 898 1796 1831 3592 3662 5837 7184 7324 11674 14368 14648 23348 23803 29296 46696 47606 58592 93392 95212 186784 190424 380848 761696 822119 1644238 3288476 6576952 10687547 13153904 21375094 26307808 42750188 85500376 171000752 342001504