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372416 = 2611232
BaseRepresentation
bin1011010111011000000
3200220212012
41122323000
543404131
611552052
73110522
oct1327300
9626765
10372416
11234890
1215b628
13100685
1499a12
157552b
hex5aec0

372416 has 42 divisors (see below), whose sum is σ = 842772. Its totient is φ = 161920.

The previous prime is 372413. The next prime is 372443. The reversal of 372416 is 614273.

It is a super-3 number, since 3×3724163 = 154955233303461888, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

Its product of digits (1008) is a multiple of the sum of its prime divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 372391 and 372400.

It is not an unprimeable number, because it can be changed into a prime (372413) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16181 + ... + 16203.

It is an arithmetic number, because the mean of its divisors is an integer number (20066).

2372416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 372416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421386).

372416 is an abundant number, since it is smaller than the sum of its proper divisors (470356).

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

372416 is a wasteful number, since it uses less digits than its factorization.

372416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 36 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 372416 is about 610.2589614254. The cubic root of 372416 is about 71.9464622579.

Adding to 372416 its reverse (614273), we get a palindrome (986689).

It can be divided in two parts, 37241 and 6, that multiplied together give a triangular number (223446 = T668).

The spelling of 372416 in words is "three hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 506 529 704 736 1012 1058 1472 2024 2116 4048 4232 5819 8096 8464 11638 16192 16928 23276 33856 46552 93104 186208 372416