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1030340896 = 251317891637
BaseRepresentation
bin111101011010011…
…100000100100000
32122210202201222221
4331122130010200
54102231402041
6250123440424
734350516214
oct7532340440
92583681887
101030340896
11489667402
12249086114
13135601390
149aba8944
15606c62d1
hex3d69c120

1030340896 has 96 divisors (see below), whose sum is σ = 2340439920. Its totient is φ = 442269696.

The previous prime is 1030340863. The next prime is 1030340923. The reversal of 1030340896 is 6980430301.

It can be written as a sum of positive squares in 8 ways, for example, as 71571600 + 958769296 = 8460^2 + 30964^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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 15 ways as a sum of consecutive naturals, for example, 628590 + ... + 630226.

Almost surely, 21030340896 is an apocalyptic number.

1030340896 is a gapful number since it is divisible by the number (16) 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 1030340896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170219960).

1030340896 is an abundant number, since it is smaller than the sum of its proper divisors (1310099024).

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

1030340896 is a wasteful number, since it uses less digits than its factorization.

1030340896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 1030340896 is about 32098.9235956597. The cubic root of 1030340896 is about 1010.0130364621.

The spelling of 1030340896 in words is "one billion, thirty million, three hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 89 104 136 178 208 221 272 356 416 442 544 712 884 1157 1424 1513 1637 1768 2314 2848 3026 3274 3536 4628 6052 6548 7072 9256 12104 13096 18512 19669 21281 24208 26192 27829 37024 39338 42562 48416 52384 55658 78676 85124 111316 145693 157352 170248 222632 291386 314704 340496 361777 445264 582772 629408 680992 723554 890528 1165544 1447108 1894009 2331088 2476781 2894216 3788018 4662176 4953562 5788432 7576036 9907124 11576864 15152072 19814248 30304144 32198153 39628496 60608288 64396306 79256992 128792612 257585224 515170448 1030340896