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1364283240 = 2335371092819
BaseRepresentation
bin101000101010001…
…0100111101101000
310112002010202202220
41101110110331220
510243224030430
6343213154040
745544134105
oct12124247550
93462122686
101364283240
11640114211
12320a8b920
131898546b8
14cd295aac
157eb8c110
hex51514f68

1364283240 has 128 divisors (see below), whose sum is σ = 4243536000. Its totient is φ = 350604288.

The previous prime is 1364283227. The next prime is 1364283253. The reversal of 1364283240 is 423824631.

It is an interprime number because it is at equal distance from previous prime (1364283227) and next prime (1364283253).

It is a super-2 number, since 2×13642832402 = 3722537517889795200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482551 + ... + 485369.

It is an arithmetic number, because the mean of its divisors is an integer number (33152625).

Almost surely, 21364283240 is an apocalyptic number.

1364283240 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 1364283240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121768000).

1364283240 is an abundant number, since it is smaller than the sum of its proper divisors (2879252760).

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

1364283240 is a wasteful number, since it uses less digits than its factorization.

1364283240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 1364283240 is about 36936.2050026800. The cubic root of 1364283240 is about 1109.0935542761.

The spelling of 1364283240 in words is "one billion, three hundred sixty-four million, two hundred eighty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 109 111 120 148 185 218 222 296 327 370 436 444 545 555 654 740 872 888 1090 1110 1308 1480 1635 2180 2220 2616 2819 3270 4033 4360 4440 5638 6540 8066 8457 11276 12099 13080 14095 16132 16914 20165 22552 24198 28190 32264 33828 40330 42285 48396 56380 60495 67656 80660 84570 96792 104303 112760 120990 161320 169140 208606 241980 307271 312909 338280 417212 483960 521515 614542 625818 834424 921813 1043030 1229084 1251636 1536355 1564545 1843626 2086060 2458168 2503272 3072710 3129090 3687252 4172120 4609065 6145420 6258180 7374504 9218130 11369027 12290840 12516360 18436260 22738054 34107081 36872520 45476108 56845135 68214162 90952216 113690270 136428324 170535405 227380540 272856648 341070810 454761080 682141620 1364283240