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3390869736 = 2333373371259
BaseRepresentation
bin1100101000011100…
…1001000011101000
322202022112000211000
43022013021003220
523421030312421
61320250035000
7150012626412
oct31207110350
98668460730
103390869736
11149006a691
127a7718a60
1342067a0c7
142424b19b2
1514ca52226
hexca1c90e8

3390869736 has 128 divisors (see below), whose sum is σ = 9710064000. Its totient is φ = 1095607296.

The previous prime is 3390869731. The next prime is 3390869743. The reversal of 3390869736 is 6379680933.

It is a super-2 number, since 2×33908697362 = 22995995133041419392, 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 (3390869731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2692675 + ... + 2693933.

It is an arithmetic number, because the mean of its divisors is an integer number (75859875).

Almost surely, 23390869736 is an apocalyptic number.

3390869736 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 3390869736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855032000).

3390869736 is an abundant number, since it is smaller than the sum of its proper divisors (6319194264).

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

3390869736 is a wasteful number, since it uses less digits than its factorization.

3390869736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The square root of 3390869736 is about 58231.1749495062. The cubic root of 3390869736 is about 1502.3473965700.

The spelling of 3390869736 in words is "three billion, three hundred ninety million, eight hundred sixty-nine thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 337 444 666 674 888 999 1011 1259 1332 1348 1998 2022 2518 2664 2696 3033 3777 3996 4044 5036 6066 7554 7992 8088 9099 10072 11331 12132 12469 15108 18198 22662 24264 24938 30216 33993 36396 37407 45324 46583 49876 67986 72792 74814 90648 93166 99752 112221 135972 139749 149628 186332 224442 271944 279498 299256 336663 372664 419247 424283 448884 558996 673326 838494 848566 897768 1117992 1257741 1272849 1346652 1676988 1697132 2515482 2545698 2693304 3353976 3394264 3818547 5030964 5091396 7637094 10061928 10182792 11455641 15274188 15698471 22911282 30548376 31396942 45822564 47095413 62793884 91645128 94190826 125587768 141286239 188381652 282572478 376763304 423858717 565144956 847717434 1130289912 1695434868 3390869736