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1010334140 = 225173897639
BaseRepresentation
bin111100001110000…
…111100110111100
32121102010021212222
4330032013212330
54032121143030
6244130544512
734015461404
oct7416074674
92542107788
101010334140
11479341aa2
12242438138
13131417b6a
149827b804
155da733e5
hex3c3879bc

1010334140 has 48 divisors (see below), whose sum is σ = 2252577600. Its totient is φ = 379333632.

The previous prime is 1010334131. The next prime is 1010334151. The reversal of 1010334140 is 414330101.

1010334140 = T6269 + T6270 + ... + T6319.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128441 + ... + 136079.

It is an arithmetic number, because the mean of its divisors is an integer number (46928700).

Almost surely, 21010334140 is an apocalyptic number.

1010334140 is a gapful number since it is divisible by the number (10) 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 1010334140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126288800).

1010334140 is an abundant number, since it is smaller than the sum of its proper divisors (1242243460).

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

1010334140 is a wasteful number, since it uses less digits than its factorization.

1010334140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8054 (or 8052 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1010334140 is about 31785.7537271023. The cubic root of 1010334140 is about 1003.4329149428.

Adding to 1010334140 its reverse (414330101), we get a palindrome (1424664241).

The spelling of 1010334140 in words is "one billion, ten million, three hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 389 778 1556 1945 3890 6613 7639 7780 13226 15278 26452 30556 33065 38195 66130 76390 129863 132260 152780 259726 519452 649315 1298630 2597260 2971571 5943142 11886284 14857855 29715710 50516707 59431420 101033414 202066828 252583535 505167070 1010334140