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3290646912 = 27371936343
BaseRepresentation
bin1100010000100011…
…0100100110000000
322111022221011221120
43010020310212000
523214401200122
61302305552240
7144355015530
oct30410644600
98438834846
103290646912
111439536803
1277a045680
13405989067
142330634c0
15143d5675c
hexc4234980

3290646912 has 128 divisors (see below), whose sum is σ = 10042805760. Its totient is φ = 935165952.

The previous prime is 3290646899. The next prime is 3290646923. The reversal of 3290646912 is 2196460923.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515613 + ... + 521955.

It is an arithmetic number, because the mean of its divisors is an integer number (78459420).

Almost surely, 23290646912 is an apocalyptic number.

3290646912 is a gapful number since it is divisible by the number (32) 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 3290646912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5021402880).

3290646912 is an abundant number, since it is smaller than the sum of its proper divisors (6752158848).

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

3290646912 is a wasteful number, since it uses less digits than its factorization.

3290646912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6560 (or 6548 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 3290646912 is about 57364.1605185677. The cubic root of 3290646912 is about 1487.3976634820.

The spelling of 3290646912 in words is "three billion, two hundred ninety million, six hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 193 224 336 384 386 448 579 672 772 896 1158 1344 1351 1544 2316 2688 2702 3088 4053 4632 5404 6176 6343 8106 9264 10808 12352 12686 16212 18528 19029 21616 24704 25372 32424 37056 38058 43232 44401 50744 64848 74112 76116 86464 88802 101488 129696 133203 152232 172928 177604 202976 259392 266406 304464 355208 405952 518784 532812 608928 710416 811904 1065624 1217856 1224199 1420832 2131248 2435712 2448398 2841664 3672597 4262496 4896796 5683328 7345194 8524992 8569393 9793592 14690388 17049984 17138786 19587184 25708179 29380776 34277572 39174368 51416358 58761552 68555144 78348736 102832716 117523104 137110288 156697472 205665432 235046208 274220576 411330864 470092416 548441152 822661728 1096882304 1645323456 3290646912