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342412504 = 23717379721
BaseRepresentation
bin10100011010001…
…100110011011000
3212212022100122121
4110122030303120
51200124200004
653551031024
711325313120
oct2432146330
9785270577
10342412504
11166312645
129680b474
1355c2a765
1433693c80
15200da854
hex1468ccd8

342412504 has 64 divisors (see below), whose sum is σ = 797981760. Its totient is φ = 134369280.

The previous prime is 342412493. The next prime is 342412507. The reversal of 342412504 is 405214243.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342412507) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30364 + ... + 40084.

It is an arithmetic number, because the mean of its divisors is an integer number (12468465).

Almost surely, 2342412504 is an apocalyptic number.

342412504 is a gapful number since it is divisible by the number (34) 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 342412504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398990880).

342412504 is an abundant number, since it is smaller than the sum of its proper divisors (455569256).

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

342412504 is a wasteful number, since it uses less digits than its factorization.

342412504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9788 (or 9784 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 342412504 is about 18504.3914787815. The cubic root of 342412504 is about 699.6001144600.

Adding to 342412504 its reverse (405214243), we get a palindrome (747626747).

The spelling of 342412504 in words is "three hundred forty-two million, four hundred twelve thousand, five hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 37 56 68 74 119 136 148 238 259 296 476 518 629 952 1036 1258 2072 2516 4403 5032 8806 9721 17612 19442 35224 38884 68047 77768 136094 165257 272188 330514 359677 544376 661028 719354 1156799 1322056 1438708 2313598 2517739 2877416 4627196 5035478 6114509 9254392 10070956 12229018 20141912 24458036 42801563 48916072 85603126 171206252 342412504