Search a number
-
+
331890024 = 233194491621
BaseRepresentation
bin10011110010000…
…011110101101000
3212010111202112010
4103302003311220
51134430440044
652533315520
711140006254
oct2362036550
9763452463
10331890024
11160385984
1293195ba0
13539b513b
1432115264
151e20cbb9
hex13c83d68

331890024 has 64 divisors (see below), whose sum is σ = 875880000. Its totient is φ = 104509440.

The previous prime is 331890019. The next prime is 331890029. The reversal of 331890024 is 420098133.

It is an interprime number because it is at equal distance from previous prime (331890019) and next prime (331890029).

It is a super-2 number, since 2×3318900242 = 220301976061441152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331889973 and 331890000.

It is not an unprimeable number, because it can be changed into a prime (331890029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203934 + ... + 205554.

It is an arithmetic number, because the mean of its divisors is an integer number (13685625).

Almost surely, 2331890024 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 331890024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437940000).

331890024 is an abundant number, since it is smaller than the sum of its proper divisors (543989976).

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

331890024 is a wasteful number, since it uses less digits than its factorization.

331890024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 331890024 is about 18217.8490497644. The cubic root of 331890024 is about 692.3590916976.

The spelling of 331890024 in words is "three hundred thirty-one million, eight hundred ninety thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 449 456 898 1347 1621 1796 2694 3242 3592 4863 5388 6484 8531 9726 10776 12968 17062 19452 25593 30799 34124 38904 51186 61598 68248 92397 102372 123196 184794 204744 246392 369588 727829 739176 1455658 2183487 2911316 4366974 5822632 8733948 13828751 17467896 27657502 41486253 55315004 82972506 110630008 165945012 331890024