Search a number
-
+
1071353340 = 22325232511031
BaseRepresentation
bin111111110110111…
…000110111111100
32202122221101111100
4333312320313330
54143231301330
6254150453100
735356232061
oct7766706774
92678841440
101071353340
114aa829692
1225a964190
13140c609b5
14a2402c68
15640c8060
hex3fdb8dfc

1071353340 has 144 divisors (see below), whose sum is σ = 3407878656. Its totient is φ = 271920000.

The previous prime is 1071353333. The next prime is 1071353347. The reversal of 1071353340 is 433531701.

It is an interprime number because it is at equal distance from previous prime (1071353333) and next prime (1071353347).

It is a super-2 number, since 2×10713533402 = 2295595958258311200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071353347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1038625 + ... + 1039655.

It is an arithmetic number, because the mean of its divisors is an integer number (23665824).

Almost surely, 21071353340 is an apocalyptic number.

1071353340 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 1071353340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703939328).

1071353340 is an abundant number, since it is smaller than the sum of its proper divisors (2336525316).

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

1071353340 is a wasteful number, since it uses less digits than its factorization.

1071353340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 1071353340 is about 32731.5343361719. The cubic root of 1071353340 is about 1023.2401576957.

The spelling of 1071353340 in words is "one billion, seventy-one million, three hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 251 276 345 414 460 502 690 753 828 1004 1031 1035 1255 1380 1506 2062 2070 2259 2510 3012 3093 3765 4124 4140 4518 5020 5155 5773 6186 7530 9036 9279 10310 11295 11546 12372 15060 15465 17319 18558 20620 22590 23092 23713 28865 30930 34638 37116 45180 46395 47426 51957 57730 61860 69276 71139 86595 92790 94852 103914 115460 118565 142278 173190 185580 207828 213417 237130 258781 259785 284556 346380 355695 426834 474260 517562 519570 711390 776343 853668 1035124 1039140 1067085 1293905 1422780 1552686 2134170 2329029 2587810 3105372 3881715 4268340 4658058 5175620 5951963 7763430 9316116 11645145 11903926 15526860 17855889 23290290 23807852 29759815 35711778 46580580 53567667 59519630 71423556 89279445 107135334 119039260 178558890 214270668 267838335 357117780 535676670 1071353340