Search a number
-
+
374840352 = 2533467929
BaseRepresentation
bin10110010101111…
…001110000100000
3222010022212022000
4112111321300200
51231424342402
6101110044000
712201043005
oct2625716040
9863285260
10374840352
11182651117
12a5649600
135c872833
1437ad58ac
1522d93c1c
hex16579c20

374840352 has 96 divisors (see below), whose sum is σ = 1096804800. Its totient is φ = 124545024.

The previous prime is 374840339. The next prime is 374840353. The reversal of 374840352 is 253048473.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (374840353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403024 + ... + 403952.

It is an arithmetic number, because the mean of its divisors is an integer number (11425050).

Almost surely, 2374840352 is an apocalyptic number.

374840352 is a gapful number since it is divisible by the number (32) 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 374840352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548402400).

374840352 is an abundant number, since it is smaller than the sum of its proper divisors (721964448).

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

374840352 is a wasteful number, since it uses less digits than its factorization.

374840352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 374840352 is about 19360.7941985860. The cubic root of 374840352 is about 721.0224362906.

It can be divided in two parts, 3748 and 40352, that added together give a square (44100 = 2102).

The spelling of 374840352 in words is "three hundred seventy-four million, eight hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 467 864 929 934 1401 1858 1868 2787 2802 3716 3736 4203 5574 5604 7432 7472 8361 8406 11148 11208 12609 14864 14944 16722 16812 22296 22416 25083 25218 29728 33444 33624 44592 44832 50166 50436 66888 67248 89184 100332 100872 133776 134496 200664 201744 267552 401328 403488 433843 802656 867686 1301529 1735372 2603058 3470744 3904587 5206116 6941488 7809174 10412232 11713761 13882976 15618348 20824464 23427522 31236696 41648928 46855044 62473392 93710088 124946784 187420176 374840352