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3274990040 = 2357313071229
BaseRepresentation
bin1100001100110100…
…0110000111011000
322110020110201202102
43003031012013120
523201344140130
61300550222532
7144104645630
oct30315060730
98406421672
103274990040
111430712543
12774954a48
1340266673a
14230d496c0
151427b2645
hexc33461d8

3274990040 has 128 divisors (see below), whose sum is σ = 8728473600. Its totient is φ = 1082211840.

The previous prime is 3274990003. The next prime is 3274990057. The reversal of 3274990040 is 400994723.

It is a junction number, because it is equal to n+sod(n) for n = 3274989976 and 3274990003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2664146 + ... + 2665374.

It is an arithmetic number, because the mean of its divisors is an integer number (68191200).

Almost surely, 23274990040 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 3274990040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4364236800).

3274990040 is an abundant number, since it is smaller than the sum of its proper divisors (5453483560).

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

3274990040 is a wasteful number, since it uses less digits than its factorization.

3274990040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 3274990040 is about 57227.5286903078. The cubic root of 3274990040 is about 1485.0349034033.

The spelling of 3274990040 in words is "three billion, two hundred seventy-four million, nine hundred ninety thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 307 310 434 614 620 868 1085 1228 1229 1240 1535 1736 2149 2170 2456 2458 3070 4298 4340 4916 6140 6145 8596 8603 8680 9517 9832 10745 12280 12290 17192 17206 19034 21490 24580 34412 38068 38099 42980 43015 47585 49160 66619 68824 76136 76198 85960 86030 95170 133238 152396 172060 190340 190495 266476 266693 304792 333095 344120 377303 380680 380990 532952 533386 666190 754606 761980 1066772 1332380 1333465 1509212 1523960 1886515 2133544 2641121 2664760 2666930 3018424 3773030 5282242 5333860 7546060 10564484 10667720 11696393 13205605 15092120 21128968 23392786 26411210 46785572 52822420 58481965 81874751 93571144 105644840 116963930 163749502 233927860 327499004 409373755 467855720 654998008 818747510 1637495020 3274990040