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2030371416 = 233279491727
BaseRepresentation
bin111100100000101…
…0000001001011000
312020111111112222100
41321001100021120
513124233341131
6533245523400
7101212605123
oct17101201130
95214445870
102030371416
11952101107
12487b73560
1326484c408
141539233ba
15bd3b17e6
hex79050258

2030371416 has 96 divisors (see below), whose sum is σ = 5587545600. Its totient is φ = 665945280.

The previous prime is 2030371393. The next prime is 2030371439. The reversal of 2030371416 is 6141730302.

It is an interprime number because it is at equal distance from previous prime (2030371393) and next prime (2030371439).

It is a self number, because there is not a number n which added to its sum of digits gives 2030371416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2792445 + ... + 2793171.

It is an arithmetic number, because the mean of its divisors is an integer number (58203600).

Almost surely, 22030371416 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 2030371416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793772800).

2030371416 is an abundant number, since it is smaller than the sum of its proper divisors (3557174184).

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

2030371416 is a wasteful number, since it uses less digits than its factorization.

2030371416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2030371416 is about 45059.6428747499. The cubic root of 2030371416 is about 1266.2666344651.

It can be divided in two parts, 20303 and 71416, that added together give a palindrome (91719).

The spelling of 2030371416 in words is "two billion, thirty million, three hundred seventy-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 491 632 711 727 948 982 1422 1454 1473 1896 1964 2181 2844 2908 2946 3928 4362 4419 5688 5816 5892 6543 8724 8838 11784 13086 17448 17676 26172 35352 38789 52344 57433 77578 114866 116367 155156 172299 229732 232734 310312 344598 349101 356957 459464 465468 516897 689196 698202 713914 930936 1033794 1070871 1378392 1396404 1427828 2067588 2141742 2792808 2855656 3212613 4135176 4283484 6425226 8566968 12850452 25700904 28199603 56399206 84598809 112798412 169197618 225596824 253796427 338395236 507592854 676790472 1015185708 2030371416