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3122242040 = 235374371691
BaseRepresentation
bin1011101000011001…
…1010000111111000
322001121001022220002
42322012122013320
522343243221130
61233452252132
7140241422321
oct27206320770
98047038802
103122242040
111362473725
12731771048
133a9b14ac8
14218947448
1513418db45
hexba19a1f8

3122242040 has 128 divisors (see below), whose sum is σ = 7497515520. Its totient is φ = 1168473600.

The previous prime is 3122242037. The next prime is 3122242043. The reversal of 3122242040 is 402422213.

3122242040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3122242037) and next prime (3122242043).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122242043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4518095 + ... + 4518785.

It is an arithmetic number, because the mean of its divisors is an integer number (58574340).

Almost surely, 23122242040 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 3122242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748757760).

3122242040 is an abundant number, since it is smaller than the sum of its proper divisors (4375273480).

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

3122242040 is a wasteful number, since it uses less digits than its factorization.

3122242040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3122242040 is about 55877.0260482786. The cubic root of 3122242040 is about 1461.5786452394.

Adding to 3122242040 its reverse (402422213), we get a palindrome (3524664253).

The spelling of 3122242040 in words is "three billion, one hundred twenty-two million, two hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 43 71 74 86 142 148 172 185 215 284 296 344 355 370 430 568 691 710 740 860 1382 1420 1480 1591 1720 2627 2764 2840 3053 3182 3455 5254 5528 6106 6364 6910 7955 10508 12212 12728 13135 13820 15265 15910 21016 24424 25567 26270 27640 29713 30530 31820 49061 51134 52540 59426 61060 63640 98122 102268 105080 112961 118852 122120 127835 148565 196244 204536 225922 237704 245305 255670 297130 392488 451844 490610 511340 564805 594260 903688 981220 1022680 1099381 1129610 1188520 1815257 1962440 2109623 2198762 2259220 3630514 4219246 4397524 4518440 5496905 7261028 8438492 8795048 9076285 10548115 10993810 14522056 16876984 18152570 21096230 21987620 36305140 42192460 43975240 72610280 78056051 84384920 156112102 312224204 390280255 624448408 780560510 1561121020 3122242040