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3290490940 = 2251127731759
BaseRepresentation
bin1100010000100000…
…1110100000111100
322111022122020222211
43010020032200330
523214331202230
61302302350204
7144353466022
oct30410164074
98438566884
103290490940
11143943a600
12779b8b364
13405933079
14233022712
15143d2542a
hexc420e83c

3290490940 has 72 divisors (see below), whose sum is σ = 7609472640. Its totient is φ = 1194314880.

The previous prime is 3290490923. The next prime is 3290490961. The reversal of 3290490940 is 490940923.

It is a junction number, because it is equal to n+sod(n) for n = 3290490893 and 3290490902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1869781 + ... + 1871539.

It is an arithmetic number, because the mean of its divisors is an integer number (105687120).

Almost surely, 23290490940 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 3290490940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804736320).

3290490940 is an abundant number, since it is smaller than the sum of its proper divisors (4318981700).

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

3290490940 is a wasteful number, since it uses less digits than its factorization.

3290490940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 3290490940 is about 57362.8010125029. The cubic root of 3290490940 is about 1487.3741629303.

The spelling of 3290490940 in words is "three billion, two hundred ninety million, four hundred ninety thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 773 1210 1546 1759 2420 3092 3518 3865 7036 7730 8503 8795 15460 17006 17590 19349 34012 35180 38698 42515 77396 85030 93533 96745 170060 187066 193490 212839 374132 386980 425678 467665 851356 935330 1064195 1359707 1870660 2128390 2719414 4256780 5438828 6798535 13597070 14956777 27194140 29913554 59827108 74783885 149567770 164524547 299135540 329049094 658098188 822622735 1645245470 3290490940