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2990376 = 2332411013
BaseRepresentation
bin1011011010000100101000
312121221000200
423122010220
51231143001
6144032200
734263204
oct13320450
95557020
102990376
111762794
121002660
1380916c
1457bb04
153e1086
hex2da128

2990376 has 48 divisors (see below), whose sum is σ = 8304660. Its totient is φ = 971520.

The previous prime is 2990371. The next prime is 2990381. The reversal of 2990376 is 6730992.

It is an interprime number because it is at equal distance from previous prime (2990371) and next prime (2990381).

It can be written as a sum of positive squares in 2 ways, for example, as 1887876 + 1102500 = 1374^2 + 1050^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2990376.

It is not an unprimeable number, because it can be changed into a prime (2990371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2446 + ... + 3458.

22990376 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 2990376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152330).

2990376 is an abundant number, since it is smaller than the sum of its proper divisors (5314284).

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

2990376 is a wasteful number, since it uses less digits than its factorization.

2990376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 2990376 is about 1729.2703663684. The cubic root of 2990376 is about 144.0705672647.

The spelling of 2990376 in words is "two million, nine hundred ninety thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1013 1476 2026 2952 3039 4052 6078 8104 9117 12156 18234 24312 36468 41533 72936 83066 124599 166132 249198 332264 373797 498396 747594 996792 1495188 2990376