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1034141418 = 2356134883
BaseRepresentation
bin111101101000111…
…011111011101010
32200001220211100000
4331220323323222
54104220011133
6250341123430
734425025362
oct7550737352
92601824300
101034141418
11490822832
1224a3b9576
131363321cb
149b4b79a2
1560bc7413
hex3da3beea

1034141418 has 48 divisors (see below), whose sum is σ = 2361786336. Its totient is φ = 339053040.

The previous prime is 1034141413. The next prime is 1034141419. The reversal of 1034141418 is 8141414301.

1034141418 is a `hidden beast` number, since 103 + 4 + 141 + 418 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 1034141391 and 1034141400.

It is not an unprimeable number, because it can be changed into a prime (1034141413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12205 + ... + 47087.

It is an arithmetic number, because the mean of its divisors is an integer number (49203882).

Almost surely, 21034141418 is an apocalyptic number.

1034141418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034141418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180893168).

1034141418 is an abundant number, since it is smaller than the sum of its proper divisors (1327644918).

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

1034141418 is an equidigital number, since it uses as much as digits as its factorization.

1034141418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34961 (or 34949 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1034141418 is about 32158.0692517446. The cubic root of 1034141418 is about 1011.2533595312.

Adding to 1034141418 its reverse (8141414301), we get a palindrome (9175555719).

The spelling of 1034141418 in words is "one billion, thirty-four million, one hundred forty-one thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 243 366 486 549 1098 1647 3294 4941 9882 14823 29646 34883 69766 104649 209298 313947 627894 941841 1883682 2127863 2825523 4255726 5651046 6383589 8476569 12767178 16953138 19150767 38301534 57452301 114904602 172356903 344713806 517070709 1034141418