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3722800428 = 2232431239933
BaseRepresentation
bin1101110111100101…
…0110110100101100
3100121110002212010100
43131321112310230
530111014103203
61413224311100
7161153165364
oct33571266454
910543085110
103722800428
111640473076
1287a912490
134743778b9
142745d79a4
1516bc6bea3
hexdde56d2c

3722800428 has 36 divisors (see below), whose sum is σ = 9432285408. Its totient is φ = 1238049120.

The previous prime is 3722800427. The next prime is 3722800453. The reversal of 3722800428 is 8240082273.

3722800428 is a `hidden beast` number, since 3 + 7 + 228 + 0 + 0 + 428 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3722800392 and 3722800401.

It is not an unprimeable number, because it can be changed into a prime (3722800421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104451 + ... + 135482.

It is an arithmetic number, because the mean of its divisors is an integer number (262007928).

Almost surely, 23722800428 is an apocalyptic number.

It is an amenable number.

3722800428 is an abundant number, since it is smaller than the sum of its proper divisors (5709484980).

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

3722800428 is a wasteful number, since it uses less digits than its factorization.

3722800428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240374 (or 240369 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3722800428 is about 61014.7558218502. The cubic root of 3722800428 is about 1549.8508948488.

The spelling of 3722800428 in words is "three billion, seven hundred twenty-two million, eight hundred thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 431 862 1293 1724 2586 3879 5172 7758 15516 239933 479866 719799 959732 1439598 2159397 2879196 4318794 8637588 103411123 206822246 310233369 413644492 620466738 930700107 1240933476 1861400214 3722800428