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2332314240 = 27353732831
BaseRepresentation
bin1000101100000100…
…0100101010000000
320000112122211122220
42023001010222000
514234033023430
61023233331040
7111540225654
oct21301045200
96015584586
102332314240
11a97592233
12551106a80
132b227a5c9
14181a80a64
15d9b56110
hex8b044a80

2332314240 has 128 divisors (see below), whose sum is σ = 7635409920. Its totient is φ = 605122560.

The previous prime is 2332314227. The next prime is 2332314247. The reversal of 2332314240 is 424132332.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2332314240.

It is not an unprimeable number, because it can be changed into a prime (2332314247) 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, 54625 + ... + 87455.

It is an arithmetic number, because the mean of its divisors is an integer number (59651640).

Almost surely, 22332314240 is an apocalyptic number.

2332314240 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 2332314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817704960).

2332314240 is an abundant number, since it is smaller than the sum of its proper divisors (5303095680).

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

2332314240 is a wasteful number, since it uses less digits than its factorization.

2332314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32890 (or 32878 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2332314240 is about 48294.0393837583. The cubic root of 2332314240 is about 1326.1592778146.

Adding to 2332314240 its reverse (424132332), we get a palindrome (2756446572).

The spelling of 2332314240 in words is "two billion, three hundred thirty-two million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 296 320 370 384 444 480 555 592 640 740 888 960 1110 1184 1480 1776 1920 2220 2368 2960 3552 4440 4736 5920 7104 8880 11840 14208 17760 23680 32831 35520 65662 71040 98493 131324 164155 196986 262648 328310 393972 492465 525296 656620 787944 984930 1050592 1214747 1313240 1575888 1969860 2101184 2429494 2626480 3151776 3644241 3939720 4202368 4858988 5252960 6073735 6303552 7288482 7879440 9717976 10505920 12147470 12607104 14576964 15758880 18221205 19435952 21011840 24294940 29153928 31517760 36442410 38871904 48589880 58307856 63035520 72884820 77743808 97179760 116615712 145769640 155487616 194359520 233231424 291539280 388719040 466462848 583078560 777438080 1166157120 2332314240