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3397037436 = 22321319220107
BaseRepresentation
bin1100101001111010…
…1010110101111100
322202202010101022100
43022132222311330
523424120144221
61321030145100
7150116225142
oct31236526574
98682111270
103397037436
1114935a2561
127a97b2190
13421a29530
14243239592
1514d36e926
hexca7aad7c

3397037436 has 108 divisors (see below), whose sum is σ = 9760302552. Its totient is φ = 990180288.

The previous prime is 3397037401. The next prime is 3397037437. The reversal of 3397037436 is 6347307933.

It is a super-3 number, since 3×33970374363 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3397037391 and 3397037400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3397037437) 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 35 ways as a sum of consecutive naturals, for example, 158895 + ... + 179001.

Almost surely, 23397037436 is an apocalyptic number.

3397037436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3397037436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4880151276).

3397037436 is an abundant number, since it is smaller than the sum of its proper divisors (6363265116).

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

3397037436 is a wasteful number, since it uses less digits than its factorization.

3397037436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20168 (or 20144 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 45.

The square root of 3397037436 is about 58284.1096354744. The cubic root of 3397037436 is about 1503.2577250298.

The spelling of 3397037436 in words is "three billion, three hundred ninety-seven million, thirty-seven thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 361 468 494 684 722 741 988 1083 1444 1482 2166 2223 2964 3249 4332 4446 4693 6498 8892 9386 12996 14079 18772 20107 28158 40214 42237 56316 60321 80428 84474 120642 168948 180963 241284 261391 361926 382033 522782 723852 764066 784173 1045564 1146099 1528132 1568346 2292198 2352519 3136692 3438297 4584396 4705038 4966429 6876594 7258627 9410076 9932858 13753188 14517254 14899287 19865716 21775881 29034508 29798574 43551762 44697861 59597148 65327643 87103524 89395722 94362151 130655286 178791444 188724302 261310572 283086453 377448604 566172906 849259359 1132345812 1698518718 3397037436