Search a number
-
+
2388480 = 2935311
BaseRepresentation
bin1001000111001000000000
311111100101020
421013020000
51102412410
6123105440
726205333
oct11071000
94440336
102388480
111391556
12972280
13658203
1446261a
15322a70
hex247200

2388480 has 80 divisors (see below), whose sum is σ = 7660224. Its totient is φ = 634880.

The previous prime is 2388479. The next prime is 2388499. The reversal of 2388480 is 848832.

It is a tau number, because it is divible by the number of its divisors (80).

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, 7525 + ... + 7835.

22388480 is an apocalyptic number.

2388480 is a gapful number since it is divisible by the number (20) 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 2388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830112).

2388480 is an abundant number, since it is smaller than the sum of its proper divisors (5271744).

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

2388480 is an equidigital number, since it uses as much as digits as its factorization.

2388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2388480 is about 1545.4708020535. The cubic root of 2388480 is about 133.6720278058.

The spelling of 2388480 in words is "two million, three hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 311 320 384 480 512 622 640 768 933 960 1244 1280 1536 1555 1866 1920 2488 2560 3110 3732 3840 4665 4976 6220 7464 7680 9330 9952 12440 14928 18660 19904 24880 29856 37320 39808 49760 59712 74640 79616 99520 119424 149280 159232 199040 238848 298560 398080 477696 597120 796160 1194240 2388480