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4242341400 = 2335211642779
BaseRepresentation
bin1111110011011100…
…1111111000011000
3101221122201021100120
43330313033320120
532142014411100
61540544033240
7210062210163
oct37467177030
911848637316
104242341400
111887766980
129a4902820
13527bb21ab
142c35d8ada
1519c6950a0
hexfcdcfe18

4242341400 has 96 divisors (see below), whose sum is σ = 14346849600. Its totient is φ = 1028444800.

The previous prime is 4242341387. The next prime is 4242341417. The reversal of 4242341400 is 41432424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314790 + ... + 327989.

It is an arithmetic number, because the mean of its divisors is an integer number (149446350).

Almost surely, 24242341400 is an apocalyptic number.

4242341400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4242341400 is an abundant number, since it is smaller than the sum of its proper divisors (10104508200).

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

4242341400 is a wasteful number, since it uses less digits than its factorization.

4242341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642809 (or 642800 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4242341400 is about 65133.2587853548. The cubic root of 4242341400 is about 1618.8323394956.

Adding to 4242341400 its reverse (41432424), we get a palindrome (4283773824).

The spelling of 4242341400 in words is "four billion, two hundred forty-two million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 642779 1285558 1928337 2571116 3213895 3856674 5142232 6427790 7070569 7713348 9641685 12855580 14141138 15426696 16069475 19283370 21211707 25711160 28282276 32138950 35352845 38566740 42423414 48208425 56564552 64277900 70705690 77133480 84846828 96416850 106058535 128555800 141411380 169693656 176764225 192833700 212117070 282822760 353528450 385667400 424234140 530292675 707056900 848468280 1060585350 1414113800 2121170700 4242341400