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4354820440 = 235671624933
BaseRepresentation
bin1000000111001000…
…10100100101011000
3102020111100210120221
410003210110211120
532404313223230
62000042525424
7212626235335
oct40344244530
912214323527
104354820440
111935201063
12a16506874
135452a4a39
142d451798c
151a74b227a
hex103914958

4354820440 has 32 divisors (see below), whose sum is σ = 9944596080. Its totient is φ = 1715928192.

The previous prime is 4354820417. The next prime is 4354820443. The reversal of 4354820440 is 440284534.

It is a super-2 number, since 2×43548204402 = 37928922129283587200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4354820396 and 4354820405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4354820443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 809787 + ... + 815146.

Almost surely, 24354820440 is an apocalyptic number.

4354820440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4354820440 is an abundant number, since it is smaller than the sum of its proper divisors (5589775640).

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

4354820440 is a wasteful number, since it uses less digits than its factorization.

4354820440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625011 (or 1625007 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

The square root of 4354820440 is about 65991.0633343637. The cubic root of 4354820440 is about 1633.0146626205.

The spelling of 4354820440 in words is "four billion, three hundred fifty-four million, eight hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 2680 1624933 3249866 6499732 8124665 12999464 16249330 32498660 64997320 108870511 217741022 435482044 544352555 870964088 1088705110 2177410220 4354820440