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1342004224 = 21011210831
BaseRepresentation
bin100111111111101…
…0101110000000000
310110112012212201011
41033333111300000
510222023113344
6341055450304
745153563521
oct11777256000
93415185634
101342004224
11629587700
12315526994
13185053b52
14ca336848
157cc3ad34
hex4ffd5c00

1342004224 has 66 divisors (see below), whose sum is σ = 2949022832. Its totient is φ = 609945600.

The previous prime is 1342004189. The next prime is 1342004231. The reversal of 1342004224 is 4224002431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1342004195 and 1342004204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 118489 + ... + 129319.

Almost surely, 21342004224 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 1342004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474511416).

1342004224 is an abundant number, since it is smaller than the sum of its proper divisors (1607018608).

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

1342004224 is a wasteful number, since it uses less digits than its factorization.

1342004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10873 (or 10844 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1342004224 is about 36633.3758204182. The cubic root of 1342004224 is about 1103.0231504744.

Adding to 1342004224 its reverse (4224002431), we get a palindrome (5566006655).

The spelling of 1342004224 in words is "one billion, three hundred forty-two million, four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2816 3872 5632 7744 10831 11264 15488 21662 30976 43324 61952 86648 119141 123904 173296 238282 346592 476564 693184 953128 1310551 1386368 1906256 2621102 2772736 3812512 5242204 5545472 7625024 10484408 11090944 15250048 20968816 30500096 41937632 61000192 83875264 122000384 167750528 335501056 671002112 1342004224