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2084337696 = 253721923321
BaseRepresentation
bin111110000111100…
…0111100000100000
312101021001022210110
41330033013200200
513232042301241
6542454331320
7102436402200
oct17417074040
95337038713
102084337696
1197a610841
124a2059b40
13272a95c1c
1415ab70400
15c2ec1816
hex7c3c7820

2084337696 has 144 divisors (see below), whose sum is σ = 6699944160. Its totient is φ = 564157440.

The previous prime is 2084337679. The next prime is 2084337701. The reversal of 2084337696 is 6967334802.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 77716 + ... + 101036.

It is an arithmetic number, because the mean of its divisors is an integer number (46527390).

Almost surely, 22084337696 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 2084337696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349972080).

2084337696 is an abundant number, since it is smaller than the sum of its proper divisors (4615606464).

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

2084337696 is a wasteful number, since it uses less digits than its factorization.

2084337696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23367 (or 23352 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 2084337696 is about 45654.5473748235. The cubic root of 2084337696 is about 1277.3875950390.

The spelling of 2084337696 in words is "two billion, eighty-four million, three hundred thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 76 84 96 98 112 114 133 147 152 168 196 224 228 266 294 304 336 392 399 456 532 588 608 672 784 798 912 931 1064 1176 1568 1596 1824 1862 2128 2352 2793 3192 3724 4256 4704 5586 6384 7448 11172 12768 14896 22344 23321 29792 44688 46642 69963 89376 93284 139926 163247 186568 279852 326494 373136 443099 489741 559704 652988 746272 886198 979482 1119408 1142729 1305976 1329297 1772396 1958964 2238816 2285458 2611952 2658594 3101693 3428187 3544792 3917928 4570916 5223904 5317188 6203386 6856374 7089584 7835856 9141832 9305079 10634376 12406772 13712748 14179168 15671712 18283664 18610158 21268752 21711851 24813544 27425496 36567328 37220316 42537504 43423702 49627088 54850992 65135553 74440632 86847404 99254176 109701984 130271106 148881264 173694808 260542212 297762528 347389616 521084424 694779232 1042168848 2084337696