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3214103040 = 29325139501
BaseRepresentation
bin1011111110010011…
…0101001000000000
322021222220100111100
42333210311020000
523040302244130
61250533214400
7142435265541
oct27744651000
98258810440
103214103040
1113aa306205
12758491400
133c2b68b25
14226c1a4c8
1513c286c60
hexbf935200

3214103040 has 120 divisors (see below), whose sum is σ = 11131422588. Its totient is φ = 857088000.

The previous prime is 3214103027. The next prime is 3214103077. The reversal of 3214103040 is 403014123.

3214103040 is a `hidden beast` number, since 321 + 41 + 0 + 304 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3105609984 + 108493056 = 55728^2 + 10416^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46711 + ... + 92790.

Almost surely, 23214103040 is an apocalyptic number.

3214103040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3214103040 is an abundant number, since it is smaller than the sum of its proper divisors (7917319548).

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

3214103040 is a wasteful number, since it uses less digits than its factorization.

3214103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139530 (or 139511 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3214103040 is about 56693.0598927241. The cubic root of 3214103040 is about 1475.7742620824.

Adding to 3214103040 its reverse (403014123), we get a palindrome (3617117163).

The spelling of 3214103040 in words is "three billion, two hundred fourteen million, one hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 139501 279002 418503 558004 697505 837006 1116008 1255509 1395010 1674012 2092515 2232016 2511018 2790020 3348024 4185030 4464032 5022036 5580040 6277545 6696048 8370060 8928064 10044072 11160080 12555090 13392096 16740120 17856128 20088144 22320160 25110180 26784192 33480240 35712256 40176288 44640320 50220360 53568384 66960480 71424512 80352576 89280640 100440720 107136768 133920960 160705152 178561280 200881440 214273536 267841920 321410304 357122560 401762880 535683840 642820608 803525760 1071367680 1607051520 3214103040