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3321140240 = 2451121033331
BaseRepresentation
bin1100010111110100…
…1001010000010000
322120110022101221002
43011331021100100
523300202441430
61305315321132
7145205140415
oct30575112020
98513271832
103321140240
111454773900
127882b01a8
1340c0a4752
1423712010c
1514687b845
hexc5f49410

3321140240 has 120 divisors (see below), whose sum is σ = 8572409664. Its totient is φ = 1195603200.

The previous prime is 3321140209. The next prime is 3321140243. The reversal of 3321140240 is 420411233.

It is a super-2 number, since 2×33211402402 = 22059944987494515200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3321140243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 995375 + ... + 998705.

Almost surely, 23321140240 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 3321140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286204832).

3321140240 is an abundant number, since it is smaller than the sum of its proper divisors (5251269424).

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

3321140240 is a wasteful number, since it uses less digits than its factorization.

3321140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3321140240 is about 57629.3348911819. The cubic root of 3321140240 is about 1491.9779505926.

Adding to 3321140240 its reverse (420411233), we get a palindrome (3741551473).

The spelling of 3321140240 in words is "three billion, three hundred twenty-one million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 103 110 121 176 206 220 242 412 440 484 515 605 824 880 968 1030 1133 1210 1648 1936 2060 2266 2420 3331 4120 4532 4840 5665 6662 8240 9064 9680 11330 12463 13324 16655 18128 22660 24926 26648 33310 36641 45320 49852 53296 62315 66620 73282 90640 99704 124630 133240 146564 183205 199408 249260 266480 293128 343093 366410 403051 498520 586256 686186 732820 806102 997040 1372372 1465640 1612204 1715465 2015255 2744744 2931280 3224408 3430930 3774023 4030510 5489488 6448816 6861860 7548046 8061020 13723720 15096092 16122040 18870115 27447440 30192184 32244080 37740230 41514253 60384368 75480460 83028506 150960920 166057012 207571265 301921840 332114024 415142530 664228048 830285060 1660570120 3321140240