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1681034148 = 223531471187
BaseRepresentation
bin110010000110010…
…1000101110100100
311100011011101100000
41210030220232210
511420321043043
6434450221300
756441361123
oct14414505644
94304141300
101681034148
11792999922
123aab84830
1320a368a81
1411d389aba
159c8a92d3
hex64328ba4

1681034148 has 144 divisors (see below), whose sum is σ = 4649508864. Its totient is φ = 530284320.

The previous prime is 1681034129. The next prime is 1681034167. The reversal of 1681034148 is 8414301861.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1681034129) and next prime (1681034167).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1415611 + ... + 1416797.

It is an arithmetic number, because the mean of its divisors is an integer number (32288256).

Almost surely, 21681034148 is an apocalyptic number.

1681034148 is a gapful number since it is divisible by the number (18) 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 1681034148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324754432).

1681034148 is an abundant number, since it is smaller than the sum of its proper divisors (2968474716).

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

1681034148 is a wasteful number, since it uses less digits than its factorization.

1681034148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1681034148 is about 41000.4164369095. The cubic root of 1681034148 is about 1189.0282649241.

The spelling of 1681034148 in words is "one billion, six hundred eighty-one million, thirty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 47 54 62 81 93 94 108 124 141 162 186 188 243 279 282 324 372 423 486 558 564 837 846 972 1116 1187 1269 1457 1674 1692 2374 2511 2538 2914 3348 3561 3807 4371 4748 5022 5076 5828 7122 7533 7614 8742 10044 10683 11421 13113 14244 15066 15228 17484 21366 22842 26226 30132 32049 36797 39339 42732 45684 52452 55789 64098 73594 78678 96147 110391 111578 118017 128196 147188 157356 167367 192294 220782 223156 236034 288441 331173 334734 354051 384588 441564 472068 502101 576882 662346 669468 708102 993519 1004202 1153764 1324692 1416204 1506303 1729459 1987038 2008404 2980557 3012606 3458918 3974076 4518909 5188377 5961114 6025212 6917836 8941671 9037818 10376754 11922228 13556727 15565131 17883342 18075636 20753508 27113454 31130262 35766684 46695393 54226908 62260524 93390786 140086179 186781572 280172358 420258537 560344716 840517074 1681034148