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3422332144 = 247117273821
BaseRepresentation
bin1100101111111100…
…1010010011110000
322211111201111010101
43023333022103300
524002104112034
61323332242144
7150544225510
oct31377122360
98744644111
103422332144
1114a68a9880
127b6170354
1342704490a
14246741840
151506b9514
hexcbfca4f0

3422332144 has 80 divisors (see below), whose sum is σ = 8280470016. Its totient is φ = 1331193600.

The previous prime is 3422332139. The next prime is 3422332153. The reversal of 3422332144 is 4412332243.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 893754 + ... + 897574.

Almost surely, 23422332144 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 3422332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140235008).

3422332144 is an abundant number, since it is smaller than the sum of its proper divisors (4858137872).

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

3422332144 is a wasteful number, since it uses less digits than its factorization.

3422332144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4574 (or 4568 counting only the distinct ones).

The product of its digits is 13824, while the sum is 28.

The square root of 3422332144 is about 58500.7020812571. The cubic root of 3422332144 is about 1506.9796421722.

Adding to 3422332144 its reverse (4412332243), we get a palindrome (7834664387).

Subtracting 3422332144 from its reverse (4412332243), we obtain a palindrome (990000099).

The spelling of 3422332144 in words is "three billion, four hundred twenty-two million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 727 1232 1454 2908 3821 5089 5816 7642 7997 10178 11632 15284 15994 20356 26747 30568 31988 40712 42031 53494 55979 61136 63976 81424 84062 106988 111958 127952 168124 213976 223916 294217 336248 427952 447832 588434 672496 895664 1176868 2353736 2777867 4707472 5555734 11111468 19445069 22222936 30556537 38890138 44445872 61113074 77780276 122226148 155560552 213895759 244452296 311121104 427791518 488904592 855583036 1711166072 3422332144