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2090093346 = 2321131437919
BaseRepresentation
bin111110010010100…
…0100101100100010
312101122212202001200
41330211010230202
513240030441341
6543221542030
7102536333415
oct17445045442
95348782050
102090093346
11982892080
124a3b74916
1327402c933
1415b82bb7c
15c375bdb6
hex7c944b22

2090093346 has 96 divisors (see below), whose sum is σ = 5218836480. Its totient is φ = 598600800.

The previous prime is 2090093297. The next prime is 2090093359. The reversal of 2090093346 is 6433900902.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2090093346.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259975 + ... + 267893.

It is an arithmetic number, because the mean of its divisors is an integer number (54362880).

Almost surely, 22090093346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2090093346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609418240).

2090093346 is an abundant number, since it is smaller than the sum of its proper divisors (3128743134).

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

2090093346 is a wasteful number, since it uses less digits than its factorization.

2090093346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8012 (or 8009 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 2090093346 is about 45717.5387132772. The cubic root of 2090093346 is about 1278.5622989404.

The spelling of 2090093346 in words is "two billion, ninety million, ninety-three thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 31 33 43 62 66 86 93 99 129 186 198 258 279 341 387 473 558 682 774 946 1023 1333 1419 2046 2666 2838 3069 3999 4257 6138 7919 7998 8514 11997 14663 15838 23757 23994 29326 43989 47514 71271 87109 87978 131967 142542 174218 245489 261327 263934 340517 490978 522654 681034 736467 783981 1021551 1472934 1567962 2043102 2209401 2700379 3064653 3745687 4418802 5400758 6129306 7491374 8101137 10556027 11237061 16202274 21112054 22474122 24303411 31668081 33711183 48606822 63336162 67422366 95004243 116116297 190008486 232232594 348348891 696697782 1045046673 2090093346