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3485450240 = 2145157271
BaseRepresentation
bin1100111110111111…
…1100000000000000
322222220111012212122
43033233330000000
524114233401430
61333505143412
7152241560336
oct31757740000
98886435778
103485450240
11152949a398
1281332ab68
13437143bbc
14250c91b56
15155ed5ee5
hexcfbfc000

3485450240 has 120 divisors (see below), whose sum is σ = 8449167552. Its totient is φ = 1380188160.

The previous prime is 3485450201. The next prime is 3485450257. The reversal of 3485450240 is 420545843.

It is a self number, because there is not a number n which added to its sum of digits gives 3485450240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12861305 + ... + 12861575.

Almost surely, 23485450240 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 3485450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224583776).

3485450240 is an abundant number, since it is smaller than the sum of its proper divisors (4963717312).

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

3485450240 is an equidigital number, since it uses as much as digits as its factorization.

3485450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The square root of 3485450240 is about 59037.7018522910. The cubic root of 3485450240 is about 1516.1876761919.

The spelling of 3485450240 in words is "three billion, four hundred eighty-five million, four hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 157 160 256 271 314 320 512 542 628 640 785 1024 1084 1256 1280 1355 1570 2048 2168 2512 2560 2710 3140 4096 4336 5024 5120 5420 6280 8192 8672 10048 10240 10840 12560 16384 17344 20096 20480 21680 25120 34688 40192 40960 42547 43360 50240 69376 80384 81920 85094 86720 100480 138752 160768 170188 173440 200960 212735 277504 321536 340376 346880 401920 425470 555008 643072 680752 693760 803840 850940 1110016 1286144 1361504 1387520 1607680 1701880 2220032 2572288 2723008 2775040 3215360 3403760 4440064 5446016 5550080 6430720 6807520 10892032 11100160 12861440 13615040 21784064 22200320 27230080 43568128 54460160 87136256 108920320 174272512 217840640 348545024 435681280 697090048 871362560 1742725120 3485450240