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3373983396 = 2234724612
BaseRepresentation
bin1100100100011010…
…1110011010100100
322201010202010010000
43021012232122210
523402214432041
61314444101300
7146416246200
oct31106563244
98633663100
103373983396
111481586733
127a1b34830
1341a016ca4
14240157b00
1514b318bb6
hexc91ae6a4

3373983396 has 135 divisors (see below), whose sum is σ = 10282606257. Its totient is φ = 961904160.

The previous prime is 3373983391. The next prime is 3373983427. The reversal of 3373983396 is 6933893733.

It is a happy number.

The square root of 3373983396 is 58086.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1081488996 + 2292494400 = 32886^2 + 47880^2 .

It is a super-2 number, since 2×33739833962 = 22767527912967385632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3373983391) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7318606 + ... + 7319066.

Almost surely, 23373983396 is an apocalyptic number.

3373983396 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3373983396 is the 58086-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3373983396

3373983396 is an abundant number, since it is smaller than the sum of its proper divisors (6908622861).

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

3373983396 is an equidigital number, since it uses as much as digits as its factorization.

3373983396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 473 counting only the distinct ones).

The product of its digits is 6613488, while the sum is 54.

The cubic root of 3373983396 is about 1499.8493768756.

The spelling of 3373983396 in words is "three billion, three hundred seventy-three million, nine hundred eighty-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 461 567 588 756 882 922 1134 1323 1383 1764 1844 2268 2646 2766 3227 3969 4149 5292 5532 6454 7938 8298 9681 12447 12908 15876 16596 19362 22589 24894 29043 37341 38724 45178 49788 58086 67767 74682 87129 90356 116172 135534 149364 174258 203301 212521 261387 271068 348516 406602 425042 522774 609903 637563 813204 850084 1045548 1219806 1275126 1487647 1829709 1912689 2439612 2550252 2975294 3659418 3825378 4462941 5738067 5950588 7318836 7650756 8925882 10413529 11476134 13388823 17214201 17851764 20827058 22952268 26777646 31240587 34428402 40166469 41654116 53555292 62481174 68856804 80332938 93721761 120499407 124962348 160665876 187443522 240998814 281165283 374887044 481997628 562330566 843495849 1124661132 1686991698 3373983396