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2934288 = 243274171
BaseRepresentation
bin1011001100011000010000
312112002002100
423030120100
51222344123
6142520400
733640530
oct13143020
95462070
102934288
111724635
12b96100
137b9786
145654c0
153ce643
hex2cc610

2934288 has 120 divisors (see below), whose sum is σ = 9749376. Its totient is φ = 806400.

The previous prime is 2934263. The next prime is 2934289. The reversal of 2934288 is 8824392.

It is a super-2 number, since 2×29342882 = 17220092133888, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2934289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41293 + ... + 41363.

22934288 is an apocalyptic number.

2934288 is a gapful number since it is divisible by the number (28) 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 2934288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874688).

2934288 is an abundant number, since it is smaller than the sum of its proper divisors (6815088).

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

2934288 is a wasteful number, since it uses less digits than its factorization.

2934288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 124 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2934288 is about 1712.9763571048. The cubic root of 2934288 is about 143.1641390389.

The spelling of 2934288 in words is "two million, nine hundred thirty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 41 42 48 56 63 71 72 82 84 112 123 126 142 144 164 168 213 246 252 284 287 328 336 369 426 492 497 504 568 574 639 656 738 852 861 984 994 1008 1136 1148 1278 1476 1491 1704 1722 1968 1988 2296 2556 2583 2911 2952 2982 3408 3444 3976 4473 4592 5112 5166 5822 5904 5964 6888 7952 8733 8946 10224 10332 11644 11928 13776 17466 17892 20377 20664 23288 23856 26199 34932 35784 40754 41328 46576 52398 61131 69864 71568 81508 104796 122262 139728 163016 183393 209592 244524 326032 366786 419184 489048 733572 978096 1467144 2934288