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1029740361 = 313311376217
BaseRepresentation
bin111101011000001…
…001011101001001
32122202122020012220
4331120021131021
54102103142421
6250102524253
734342435326
oct7530113511
92582566186
101029740361
114892971a1
12248a36689
13135450c30
149aa8db4d
15606083c6
hex3d609749

1029740361 has 32 divisors (see below), whose sum is σ = 1537686528. Its totient is φ = 608670720.

The previous prime is 1029740357. The next prime is 1029740363. The reversal of 1029740361 is 1630479201.

1029740361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1029740361 - 22 = 1029740357 is a prime.

It is a super-2 number, since 2×10297403612 = 2120730422144820642, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1029740363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162525 + ... + 168741.

It is an arithmetic number, because the mean of its divisors is an integer number (48052704).

Almost surely, 21029740361 is an apocalyptic number.

It is an amenable number.

1029740361 is a deficient number, since it is larger than the sum of its proper divisors (507946167).

1029740361 is a wasteful number, since it uses less digits than its factorization.

1029740361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6401.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1029740361 is about 32089.5677907946. The cubic root of 1029740361 is about 1009.8167693620.

The spelling of 1029740361 in words is "one billion, twenty-nine million, seven hundred forty thousand, three hundred sixty-one".

Divisors: 1 3 13 31 39 93 137 403 411 1209 1781 4247 5343 6217 12741 18651 55211 80821 165633 192727 242463 578181 851729 2505451 2555187 7516353 11072477 26403599 33217431 79210797 343246787 1029740361