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3422230400 = 27527331459
BaseRepresentation
bin1100101111111011…
…0001011110000000
322211111112022120002
43023332301132000
524002042333100
61323330135132
7150543323051
oct31376613600
98744468502
103422230400
1114a683a396
127b61214a8
1342700a504
14246716728
151506992d5
hexcbfb1780

3422230400 has 96 divisors (see below), whose sum is σ = 8471314200. Its totient is φ = 1366087680.

The previous prime is 3422230397. The next prime is 3422230423. The reversal of 3422230400 is 40322243.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2344871 + ... + 2346329.

Almost surely, 23422230400 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 3422230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235657100).

3422230400 is an abundant number, since it is smaller than the sum of its proper divisors (5049083800).

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

3422230400 is a wasteful number, since it uses less digits than its factorization.

3422230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2199 counting only the distinct ones).

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

The square root of 3422230400 is about 58499.8324783926. The cubic root of 3422230400 is about 1506.9647081399.

Adding to 3422230400 its reverse (40322243), we get a palindrome (3462552643).

The spelling of 3422230400 in words is "three billion, four hundred twenty-two million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 733 800 1459 1466 1600 2918 2932 3200 3665 5836 5864 7295 7330 11672 11728 14590 14660 18325 23344 23456 29180 29320 36475 36650 46688 46912 58360 58640 72950 73300 93376 93824 116720 117280 145900 146600 186752 233440 234560 291800 293200 466880 469120 583600 586400 933760 1069447 1167200 1172800 2138894 2334400 2345600 4277788 4668800 5347235 8555576 10694470 17111152 21388940 26736175 34222304 42777880 53472350 68444608 85555760 106944700 136889216 171111520 213889400 342223040 427778800 684446080 855557600 1711115200 3422230400