Search a number
-
+
40374320 = 2457174241
BaseRepresentation
bin1001101000000…
…1000000110000
32210222020011012
42122001000300
540313434240
64001210052
71000114250
oct232010060
983866135
1040374320
1120876908
1211630928
13849803c
14550d960
153827b65
hex2681030

40374320 has 80 divisors (see below), whose sum is σ = 113617728. Its totient is φ = 13025280.

The previous prime is 40374319. The next prime is 40374343. The reversal of 40374320 is 2347304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7400 + ... + 11640.

Almost surely, 240374320 is an apocalyptic number.

40374320 is a gapful number since it is divisible by the number (40) 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 40374320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56808864).

40374320 is an abundant number, since it is smaller than the sum of its proper divisors (73243408).

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

40374320 is a wasteful number, since it uses less digits than its factorization.

40374320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 23.

The square root of 40374320 is about 6354.0790048598. The cubic root of 40374320 is about 343.0586758270.

The spelling of 40374320 in words is "forty million, three hundred seventy-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 4241 4760 8482 9520 16964 21205 29687 33928 42410 59374 67856 72097 84820 118748 144194 148435 169640 237496 288388 296870 339280 360485 474992 504679 576776 593740 720970 1009358 1153552 1187480 1441940 2018716 2374960 2523395 2883880 4037432 5046790 5767760 8074864 10093580 20187160 40374320