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4412020340 = 2257132818627
BaseRepresentation
bin1000001101111101…
…00001011001110100
3102101110222212002202
410012332201121310
533013434122330
62005444524032
7214222361030
oct40676413164
912343885082
104412020340
11196451a202
12a316b0618
135540b1330
142dbd671c0
151ac510445
hex106fa1674

4412020340 has 96 divisors (see below), whose sum is σ = 11445283584. Its totient is φ = 1391201280.

The previous prime is 4412020313. The next prime is 4412020363. The reversal of 4412020340 is 430202144.

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

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, 507107 + ... + 515733.

It is an arithmetic number, because the mean of its divisors is an integer number (119221704).

Almost surely, 24412020340 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 4412020340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5722641792).

4412020340 is an abundant number, since it is smaller than the sum of its proper divisors (7033263244).

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

4412020340 is a wasteful number, since it uses less digits than its factorization.

4412020340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8937 (or 8935 counting only the distinct ones).

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

The square root of 4412020340 is about 66423.0407313607. The cubic root of 4412020340 is about 1640.1333844517.

Adding to 4412020340 its reverse (430202144), we get a palindrome (4842222484).

The spelling of 4412020340 in words is "four billion, four hundred twelve million, twenty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 281 364 455 562 910 1124 1405 1820 1967 2810 3653 3934 5620 7306 7868 8627 9835 14612 17254 18265 19670 25571 34508 36530 39340 43135 51142 60389 73060 86270 102284 112151 120778 127855 172540 224302 241556 255710 301945 448604 511420 560755 603890 785057 1121510 1207780 1570114 2243020 2424187 3140228 3925285 4848374 7850570 9696748 12120935 15701140 16969309 24241870 31514431 33938618 48483740 63028862 67877236 84846545 126057724 157572155 169693090 220601017 315144310 339386180 441202034 630288620 882404068 1103005085 2206010170 4412020340