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1004220324 = 2232311316869
BaseRepresentation
bin111011110110110…
…010111110100100
32120222121200022100
4323312302332210
54024040022244
6243351532100
733612506022
oct7366627644
92528550270
101004220324
11475946658
1224038a030
13130087113
1497529712
155d266b69
hex3bdb2fa4

1004220324 has 72 divisors (see below), whose sum is σ = 2640718080. Its totient is φ = 321422400.

The previous prime is 1004220253. The next prime is 1004220331. The reversal of 1004220324 is 4230224001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1004220297 and 1004220306.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 142762 + ... + 149630.

It is an arithmetic number, because the mean of its divisors is an integer number (36676640).

Almost surely, 21004220324 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 1004220324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320359040).

1004220324 is an abundant number, since it is smaller than the sum of its proper divisors (1636497756).

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

1004220324 is a wasteful number, since it uses less digits than its factorization.

1004220324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7041 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1004220324 is about 31689.4355266862. The cubic root of 1004220324 is about 1001.4048002787.

Adding to 1004220324 its reverse (4230224001), we get a palindrome (5234444325).

The spelling of 1004220324 in words is "one billion, four million, two hundred twenty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 131 186 262 279 372 393 524 558 786 1116 1179 1572 2358 4061 4716 6869 8122 12183 13738 16244 20607 24366 27476 36549 41214 48732 61821 73098 82428 123642 146196 212939 247284 425878 638817 851756 899839 1277634 1799678 1916451 2555268 2699517 3599356 3832902 5399034 7665804 8098551 10798068 16197102 27895009 32394204 55790018 83685027 111580036 167370054 251055081 334740108 502110162 1004220324