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3504228756 = 2237234342181
BaseRepresentation
bin1101000011011110…
…0100100110010100
3100001012211021011020
43100313210212110
524134040310011
61335415441140
7152560311240
oct32067444624
910035737136
103504228756
111539055a26
128196861b0
1343acba352
1425357d420
15157995006
hexd0de4994

3504228756 has 96 divisors (see below), whose sum is σ = 9977899008. Its totient is φ = 935383680.

The previous prime is 3504228743. The next prime is 3504228757. The reversal of 3504228756 is 6578224053.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3504228757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61986 + ... + 104166.

It is an arithmetic number, because the mean of its divisors is an integer number (103936448).

Almost surely, 23504228756 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 3504228756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988949504).

3504228756 is an abundant number, since it is smaller than the sum of its proper divisors (6473670252).

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

3504228756 is a wasteful number, since it uses less digits than its factorization.

3504228756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42261 (or 42259 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 3504228756 is about 59196.5265535065. The cubic root of 3504228756 is about 1518.9057157349.

The spelling of 3504228756 in words is "three billion, five hundred four million, two hundred twenty-eight thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 43 46 69 84 86 92 129 138 161 172 258 276 301 322 483 516 602 644 903 966 989 1204 1806 1932 1978 2967 3612 3956 5934 6923 11868 13846 20769 27692 41538 42181 83076 84362 126543 168724 253086 295267 506172 590534 885801 970163 1181068 1771602 1813783 1940326 2910489 3543204 3627566 3880652 5441349 5820978 6791141 7255132 10882698 11641956 12696481 13582282 20373423 21765396 25392962 27164564 38089443 40746846 41717009 50785924 76178886 81493692 83434018 125151027 152357772 166868036 250302054 292019063 500604108 584038126 876057189 1168076252 1752114378 3504228756