Search a number
-
+
1378314360 = 233352295573
BaseRepresentation
bin101001000100111…
…0110100001111000
310120001112121212000
41102021312201320
510310322024420
6344434021000
746104323133
oct12211664170
93501477760
101378314360
11648027a85
12325717760
1318c728037
14d10a921a
158100e690
hex52276878

1378314360 has 128 divisors (see below), whose sum is σ = 4615272000. Its totient is φ = 365879808.

The previous prime is 1378314319. The next prime is 1378314383. The reversal of 1378314360 is 634138731.

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

It is a congruent number.

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, 244534 + ... + 250106.

Almost surely, 21378314360 is an apocalyptic number.

1378314360 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 1378314360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307636000).

1378314360 is an abundant number, since it is smaller than the sum of its proper divisors (3236957640).

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

1378314360 is a wasteful number, since it uses less digits than its factorization.

1378314360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5822 (or 5812 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1378314360 is about 37125.6563578343. The cubic root of 1378314360 is about 1112.8827914731.

The spelling of 1378314360 in words is "one billion, three hundred seventy-eight million, three hundred fourteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 229 270 360 458 540 687 916 1080 1145 1374 1832 2061 2290 2748 3435 4122 4580 5496 5573 6183 6870 8244 9160 10305 11146 12366 13740 16488 16719 20610 22292 24732 27480 27865 30915 33438 41220 44584 49464 50157 55730 61830 66876 82440 83595 100314 111460 123660 133752 150471 167190 200628 222920 247320 250785 300942 334380 401256 501570 601884 668760 752355 1003140 1203768 1276217 1504710 2006280 2552434 3009420 3828651 5104868 6018840 6381085 7657302 10209736 11485953 12762170 15314604 19143255 22971906 25524340 30629208 34457859 38286510 45943812 51048680 57429765 68915718 76573020 91887624 114859530 137831436 153146040 172289295 229719060 275662872 344578590 459438120 689157180 1378314360