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3233460340 = 22511371632437
BaseRepresentation
bin1100000010111010…
…1011000001110100
322100100022210201101
43000232223001310
523110231212330
61252504135444
7143061650035
oct30056530164
98310283641
103233460340
11140a227680
12762a67584
133c6b85856
14229618a8c
1513dd0c4ca
hexc0bab074

3233460340 has 96 divisors (see below), whose sum is σ = 7657582464. Its totient is φ = 1136540160.

The previous prime is 3233460323. The next prime is 3233460353. The reversal of 3233460340 is 430643323.

It is a junction number, because it is equal to n+sod(n) for n = 3233460299 and 3233460308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1325602 + ... + 1328038.

It is an arithmetic number, because the mean of its divisors is an integer number (79766484).

Almost surely, 23233460340 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 3233460340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828791232).

3233460340 is an abundant number, since it is smaller than the sum of its proper divisors (4424122124).

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

3233460340 is a wasteful number, since it uses less digits than its factorization.

3233460340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

The square root of 3233460340 is about 56863.5238092048. The cubic root of 3233460340 is about 1478.7310068355.

The spelling of 3233460340 in words is "three billion, two hundred thirty-three million, four hundred sixty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 163 185 220 326 370 407 652 740 814 815 1628 1630 1793 2035 2437 3260 3586 4070 4874 6031 7172 8140 8965 9748 12062 12185 17930 24124 24370 26807 30155 35860 48740 53614 60310 66341 90169 107228 120620 132682 134035 180338 265364 268070 331705 360676 397231 450845 536140 663410 794462 901690 991859 1326820 1588924 1803380 1983718 1986155 3967436 3972310 4369541 4959295 7944620 8739082 9918590 14697547 17478164 19837180 21847705 29395094 43695410 58790188 73487735 87390820 146975470 161673017 293950940 323346034 646692068 808365085 1616730170 3233460340