Search a number
-
+
2290436352 = 28374091
BaseRepresentation
bin1000100010000101…
…0100100100000000
312220121212020000000
42020201110210000
514142322430402
61015140000000
7110521250001
oct21041244400
95817766000
102290436352
11a75989806
1253b090000
132a66a70a9
1417a29d1a8
15d6132c1c
hex88854900

2290436352 has 144 divisors (see below), whose sum is σ = 6858519360. Its totient is φ = 763292160.

The previous prime is 2290436273. The next prime is 2290436363. The reversal of 2290436352 is 2536340922.

It is a happy number.

2290436352 is a `hidden beast` number, since 2 + 290 + 4 + 363 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 557827 + ... + 561917.

Almost surely, 22290436352 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 2290436352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429259680).

2290436352 is an abundant number, since it is smaller than the sum of its proper divisors (4568083008).

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

2290436352 is an frugal number, since it uses more digits than its factorization.

2290436352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4128 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2290436352 is about 47858.5034450514. The cubic root of 2290436352 is about 1318.1740041351.

The spelling of 2290436352 in words is "two billion, two hundred ninety million, four hundred thirty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2187 2304 2592 2916 3456 3888 4091 4374 5184 5832 6912 7776 8182 8748 10368 11664 12273 15552 16364 17496 20736 23328 24546 31104 32728 34992 36819 46656 49092 62208 65456 69984 73638 93312 98184 110457 130912 139968 147276 186624 196368 220914 261824 279936 294552 331371 392736 441828 523648 559872 589104 662742 785472 883656 994113 1047296 1178208 1325484 1570944 1767312 1988226 2356416 2650968 2982339 3141888 3534624 3976452 4712832 5301936 5964678 7069248 7952904 8947017 9425664 10603872 11929356 14138496 15905808 17894034 21207744 23858712 28276992 31811616 35788068 42415488 47717424 63623232 71576136 84830976 95434848 127246464 143152272 190869696 254492928 286304544 381739392 572609088 763478784 1145218176 2290436352