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3042880 = 26537257
BaseRepresentation
bin1011100110111001000000
312201121001021
423212321000
51234333010
6145115224
734602241
oct13467100
95647037
103042880
111799185
121028b14
13827029
14592cc8
154018da
hex2e6e40

3042880 has 56 divisors (see below), whose sum is σ = 7470648. Its totient is φ = 1179648.

The previous prime is 3042857. The next prime is 3042899. The reversal of 3042880 is 882403.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 1236544 = 1344^2 + 1112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11712 + ... + 11968.

Almost surely, 23042880 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 3042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735324).

3042880 is an abundant number, since it is smaller than the sum of its proper divisors (4427768).

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

3042880 is a wasteful number, since it uses less digits than its factorization.

3042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 3042880 is about 1744.3852785437. The cubic root of 3042880 is about 144.9088606815.

The spelling of 3042880 in words is "three million, forty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 257 296 320 370 514 592 740 1028 1184 1285 1480 2056 2368 2570 2960 4112 5140 5920 8224 9509 10280 11840 16448 19018 20560 38036 41120 47545 76072 82240 95090 152144 190180 304288 380360 608576 760720 1521440 3042880