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3423142000 = 24532816091
BaseRepresentation
bin1100110000001001…
…0000000001110000
322211120020122001001
43030002100001300
524002311021000
61323401451344
7150554140555
oct31402200160
98746218031
103423142000
1114a7302283
127b64a0b54
13427269415
142468b2a2c
151507c946a
hexcc090070

3423142000 has 80 divisors (see below), whose sum is σ = 8307977184. Its totient is φ = 1364160000.

The previous prime is 3423141989. The next prime is 3423142007. The reversal of 3423142000 is 2413243.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423142007) 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, 558955 + ... + 565045.

Almost surely, 23423142000 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 3423142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153988592).

3423142000 is an abundant number, since it is smaller than the sum of its proper divisors (4884835184).

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

3423142000 is a wasteful number, since it uses less digits than its factorization.

3423142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6395 (or 6379 counting only the distinct ones).

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

The square root of 3423142000 is about 58507.6234348995. The cubic root of 3423142000 is about 1507.0985026645.

Adding to 3423142000 its reverse (2413243), we get a palindrome (3425555243).

The spelling of 3423142000 in words is "three billion, four hundred twenty-three million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 281 400 500 562 1000 1124 1405 2000 2248 2810 4496 5620 6091 7025 11240 12182 14050 22480 24364 28100 30455 35125 48728 56200 60910 70250 97456 112400 121820 140500 152275 243640 281000 304550 487280 562000 609100 761375 1218200 1522750 1711571 2436400 3045500 3423142 6091000 6846284 8557855 12182000 13692568 17115710 27385136 34231420 42789275 68462840 85578550 136925680 171157100 213946375 342314200 427892750 684628400 855785500 1711571000 3423142000