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1008668340 = 223255603713
BaseRepresentation
bin111100000111110…
…000111010110100
32121021222122211200
4330013300322310
54031204341330
6244031132500
733665353011
oct7407607264
92537878750
101008668340
114784044a9
12241974130
13130c83894
1497d66708
155d844a60
hex3c1f0eb4

1008668340 has 36 divisors (see below), whose sum is σ = 3059627844. Its totient is φ = 268978176.

The previous prime is 1008668321. The next prime is 1008668357. The reversal of 1008668340 is 438668001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 795916944 + 212751396 = 28212^2 + 14586^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 1008668295 and 1008668304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2801677 + ... + 2802036.

Almost surely, 21008668340 is an apocalyptic number.

1008668340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008668340 is an abundant number, since it is smaller than the sum of its proper divisors (2050959504).

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

1008668340 is a wasteful number, since it uses less digits than its factorization.

1008668340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603728 (or 5603723 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1008668340 is about 31759.5393543420. The cubic root of 1008668340 is about 1002.8811377399.

The spelling of 1008668340 in words is "one billion, eight million, six hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5603713 11207426 16811139 22414852 28018565 33622278 50433417 56037130 67244556 84055695 100866834 112074260 168111390 201733668 252167085 336222780 504334170 1008668340