Search a number
-
+
376340520 = 233525712203
BaseRepresentation
bin10110011011101…
…000000000101000
3222020011002010210
4112123220000220
51232320344040
6101202141120
712216561453
oct2633500050
9866132123
10376340520
11183486226
12a60517a0
135cc795ca
1437da649a
152308d480
hex166e8028

376340520 has 64 divisors (see below), whose sum is σ = 1133507520. Its totient is φ = 99958784.

The previous prime is 376340501. The next prime is 376340521. The reversal of 376340520 is 25043673.

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

It is not an unprimeable number, because it can be changed into a prime (376340521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24739 + ... + 36941.

It is an arithmetic number, because the mean of its divisors is an integer number (17711055).

Almost surely, 2376340520 is an apocalyptic number.

376340520 is a gapful number since it is divisible by the number (30) 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 376340520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566753760).

376340520 is an abundant number, since it is smaller than the sum of its proper divisors (757167000).

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

376340520 is a wasteful number, since it uses less digits than its factorization.

376340520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12474 (or 12470 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 376340520 is about 19399.4979316476. The cubic root of 376340520 is about 721.9830363594.

The spelling of 376340520 in words is "three hundred seventy-six million, three hundred forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 257 514 771 1028 1285 1542 2056 2570 3084 3855 5140 6168 7710 10280 12203 15420 24406 30840 36609 48812 61015 73218 97624 122030 146436 183045 244060 292872 366090 488120 732180 1464360 3136171 6272342 9408513 12544684 15680855 18817026 25089368 31361710 37634052 47042565 62723420 75268104 94085130 125446840 188170260 376340520