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3145513320 = 2332567130411
BaseRepresentation
bin1011101101111100…
…1011100101101000
322010012211122002100
42323133023211220
522420222411240
61240043133400
7140643264525
oct27337134550
98105748070
103145513320
111374618794
12739514260
133b18a21b1
1421ba8414c
15136238e30
hexbb7cb968

3145513320 has 96 divisors (see below), whose sum is σ = 10375578720. Its totient is φ = 826277760.

The previous prime is 3145513307. The next prime is 3145513331. The reversal of 3145513320 is 233155413.

3145513320 is a `hidden beast` number, since 3 + 145 + 513 + 3 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41086 + ... + 89325.

It is an arithmetic number, because the mean of its divisors is an integer number (108078945).

Almost surely, 23145513320 is an apocalyptic number.

3145513320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3145513320 is an abundant number, since it is smaller than the sum of its proper divisors (7230065400).

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

3145513320 is a wasteful number, since it uses less digits than its factorization.

3145513320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130495 (or 130488 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 3145513320 is about 56084.8760362364. The cubic root of 3145513320 is about 1465.2008981055.

Adding to 3145513320 its reverse (233155413), we get a palindrome (3378668733).

The spelling of 3145513320 in words is "three billion, one hundred forty-five million, five hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 90 120 134 180 201 268 335 360 402 536 603 670 804 1005 1206 1340 1608 2010 2412 2680 3015 4020 4824 6030 8040 12060 24120 130411 260822 391233 521644 652055 782466 1043288 1173699 1304110 1564932 1956165 2347398 2608220 3129864 3912330 4694796 5216440 5868495 7824660 8737537 9389592 11736990 15649320 17475074 23473980 26212611 34950148 43687685 46947960 52425222 69900296 78637833 87375370 104850444 131063055 157275666 174750740 209700888 262126110 314551332 349501480 393189165 524252220 629102664 786378330 1048504440 1572756660 3145513320