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3883232340 = 223551361463
BaseRepresentation
bin1110011101110101…
…0110110001010100
3101000121222122100000
43213131112301110
530423101413330
61441155051300
7165141634041
oct34735266124
911017878300
103883232340
111712a8aa29
129045a0b30
1349b689b20
1428ba3a1c8
1517adac560
hexe7756c54

3883232340 has 144 divisors (see below), whose sum is σ = 13155262848. Its totient is φ = 955857024.

The previous prime is 3883232333. The next prime is 3883232363. The reversal of 3883232340 is 432323883.

It is a happy number.

3883232340 is a `hidden beast` number, since 3 + 8 + 83 + 232 + 340 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3883232295 and 3883232304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32449 + ... + 93911.

It is an arithmetic number, because the mean of its divisors is an integer number (91355992).

Almost surely, 23883232340 is an apocalyptic number.

3883232340 is a gapful number since it is divisible by the number (30) 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 3883232340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6577631424).

3883232340 is an abundant number, since it is smaller than the sum of its proper divisors (9272030508).

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

3883232340 is a wasteful number, since it uses less digits than its factorization.

3883232340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61500 (or 61486 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3883232340 is about 62315.5866537418. The cubic root of 3883232340 is about 1571.8018368006.

The spelling of 3883232340 in words is "three billion, eight hundred eighty-three million, two hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 243 260 270 324 351 390 405 468 486 540 585 702 780 810 972 1053 1170 1215 1404 1620 1755 2106 2340 2430 3159 3510 4212 4860 5265 6318 7020 10530 12636 15795 21060 31590 61463 63180 122926 184389 245852 307315 368778 553167 614630 737556 799019 921945 1106334 1229260 1598038 1659501 1843890 2212668 2397057 2765835 3196076 3319002 3687780 3995095 4794114 4978503 5531670 6638004 7191171 7990190 8297505 9588228 9957006 11063340 11985285 14382342 14935509 15980380 16595010 19914012 21573513 23970570 24892515 28764684 29871018 33190020 35955855 43147026 47941140 49785030 59742036 64720539 71911710 74677545 86294052 99570060 107867565 129441078 143823420 149355090 194161617 215735130 258882156 298710180 323602695 388323234 431470260 647205390 776646468 970808085 1294410780 1941616170 3883232340