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2345032305432 = 23321091217245527
BaseRepresentation
bin100010000111111110110…
…100010100101100011000
322022011221100000000111100
4202013332310110230120
5301410111232233212
64553143140431400
7331265041465545
oct42077664245430
98264840000440
102345032305432
11824582668733
1231a5966a8560
1314019bba554b
148170066dbcc
1540eedd5bbdc
hex221fed14b18

2345032305432 has 96 divisors (see below), whose sum is σ = 6414689080800. Its totient is φ = 773866524672.

The previous prime is 2345032305353. The next prime is 2345032305479.

It is a happy number.

2345032305432 is a `hidden beast` number, since 2 + 3 + 4 + 50 + 32 + 30 + 543 + 2 = 666.

2345032305432 is nontrivially palindromic in base 10.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9428253 + ... + 9673779.

It is an arithmetic number, because the mean of its divisors is an integer number (66819677925).

Almost surely, 22345032305432 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 2345032305432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207344540400).

2345032305432 is an abundant number, since it is smaller than the sum of its proper divisors (4069656775368).

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

2345032305432 is a wasteful number, since it uses less digits than its factorization.

2345032305432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246865 (or 246858 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

The spelling of 2345032305432 in words is "two trillion, three hundred forty-five billion, thirty-two million, three hundred five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 872 981 1217 1308 1962 2434 2616 3651 3924 4868 7302 7848 9736 10953 14604 21906 29208 43812 87624 132653 245527 265306 397959 491054 530612 736581 795918 982108 1061224 1193877 1473162 1591836 1964216 2209743 2387754 2946324 3183672 4419486 4775508 5892648 8838972 9551016 17677944 26762443 53524886 80287329 107049772 160574658 214099544 240861987 298806359 321149316 481723974 597612718 642298632 896419077 963447948 1195225436 1792838154 1926895896 2390450872 2689257231 3585676308 5378514462 7171352616 10757028924 21514057848 32569893131 65139786262 97709679393 130279572524 195419358786 260559145048 293129038179 390838717572 586258076358 781677435144 1172516152716 2345032305432