Search a number
-
+
36374340 = 2235647937
BaseRepresentation
bin1000101011000…
…0011101000100
32112110000012210
42022300131010
533302434330
63335343420
7621114432
oct212603504
975400183
1036374340
1119594642
1210221b70
1376c74a2
144b8bd52
1532d78b0
hex22b0744

36374340 has 48 divisors (see below), whose sum is σ = 102114432. Its totient is φ = 9674496.

The previous prime is 36374311. The next prime is 36374357. The reversal of 36374340 is 4347363.

It is a super-2 number, since 2×363743402 = 2646185220871200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 36374298 and 36374307.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38352 + ... + 39288.

It is an arithmetic number, because the mean of its divisors is an integer number (2127384).

Almost surely, 236374340 is an apocalyptic number.

36374340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36374340 is an abundant number, since it is smaller than the sum of its proper divisors (65740092).

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

36374340 is a wasteful number, since it uses less digits than its factorization.

36374340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 30.

The square root of 36374340 is about 6031.1143248988. The cubic root of 36374340 is about 331.3332654096. Note that the first 3 decimals are identical.

The spelling of 36374340 in words is "thirty-six million, three hundred seventy-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 647 937 1294 1874 1941 2588 2811 3235 3748 3882 4685 5622 6470 7764 9370 9705 11244 12940 14055 18740 19410 28110 38820 56220 606239 1212478 1818717 2424956 3031195 3637434 6062390 7274868 9093585 12124780 18187170 36374340