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3120424440 = 233577152321
BaseRepresentation
bin1011100111111101…
…1110010111111000
322001110121222121120
42321333132113320
522342312040230
61233345305240
7140220112230
oct27177362770
98043558546
103120424440
111361442081
12731035220
133a96296c3
142185d2cc0
15133e30310
hexb9fde5f8

3120424440 has 128 divisors (see below), whose sum is σ = 10849489920. Its totient is φ = 703180800.

The previous prime is 3120424429. The next prime is 3120424451. The reversal of 3120424440 is 444240213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3120424429) and next prime (3120424451).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3120424440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33480 + ... + 85800.

It is an arithmetic number, because the mean of its divisors is an integer number (84761640).

Almost surely, 23120424440 is an apocalyptic number.

3120424440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3120424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5424744960).

3120424440 is an abundant number, since it is smaller than the sum of its proper divisors (7729065480).

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

3120424440 is a wasteful number, since it uses less digits than its factorization.

3120424440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52413 (or 52409 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3120424440 is about 55860.7593933344. The cubic root of 3120424440 is about 1461.2949729102.

Adding to 3120424440 its reverse (444240213), we get a palindrome (3564664653).

The spelling of 3120424440 in words is "three billion, one hundred twenty million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 71 84 105 120 140 142 168 210 213 280 284 355 420 426 497 568 710 840 852 994 1065 1420 1491 1704 1988 2130 2485 2840 2982 3976 4260 4970 5964 7455 8520 9940 11928 14910 19880 29820 52321 59640 104642 156963 209284 261605 313926 366247 418568 523210 627852 732494 784815 1046420 1098741 1255704 1464988 1569630 1831235 2092840 2197482 2929976 3139260 3662470 3714791 4394964 5493705 6278520 7324940 7429582 8789928 10987410 11144373 14649880 14859164 18573955 21974820 22288746 26003537 29718328 37147910 43949640 44577492 52007074 55721865 74295820 78010611 89154984 104014148 111443730 130017685 148591640 156021222 208028296 222887460 260035370 312042444 390053055 445774920 520070740 624084888 780106110 1040141480 1560212220 3120424440