Search a number
-
+
342043400 = 235217293469
BaseRepresentation
bin10100011000110…
…010101100001000
3212211121121100002
4110120302230020
51200030342100
653535102132
711322215036
oct2430625410
9784547302
10342043400
111660902a6
1296671948
1355b2b75a
14335d9556
15200662d5
hex14632b08

342043400 has 96 divisors (see below), whose sum is σ = 871317000. Its totient is φ = 124293120.

The previous prime is 342043391. The next prime is 342043411. The reversal of 342043400 is 4340243.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3556996 + 338486404 = 1886^2 + 18398^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 96866 + ... + 100334.

Almost surely, 2342043400 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 342043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435658500).

342043400 is an abundant number, since it is smaller than the sum of its proper divisors (529273600).

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

342043400 is a wasteful number, since it uses less digits than its factorization.

342043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 342043400 is about 18494.4153732958. The cubic root of 342043400 is about 699.3486457997.

Adding to 342043400 its reverse (4340243), we get a palindrome (346383643).

The spelling of 342043400 in words is "three hundred forty-two million, forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 29 34 40 50 58 68 85 100 116 136 145 170 200 232 290 340 425 493 580 680 725 850 986 1160 1450 1700 1972 2465 2900 3400 3469 3944 4930 5800 6938 9860 12325 13876 17345 19720 24650 27752 34690 49300 58973 69380 86725 98600 100601 117946 138760 173450 201202 235892 294865 346900 402404 471784 503005 589730 693800 804808 1006010 1179460 1474325 1710217 2012020 2358920 2515025 2948650 3420434 4024040 5030050 5897300 6840868 8551085 10060100 11794600 13681736 17102170 20120200 34204340 42755425 68408680 85510850 171021700 342043400