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3442432440 = 233578736451
BaseRepresentation
bin1100110100101111…
…0101100110111000
322212220112200112210
43031023311212320
524022230314230
61325331135120
7151210123116
oct31513654670
98786480483
103442432440
111507188497
12800a444a0
1342b261895
14249294ab6
15152339eb0
hexcd2f59b8

3442432440 has 64 divisors (see below), whose sum is σ = 10340703360. Its totient is φ = 916790400.

The previous prime is 3442432429. The next prime is 3442432451. The reversal of 3442432440 is 442342443.

It is an interprime number because it is at equal distance from previous prime (3442432429) and next prime (3442432451).

It is a super-2 number, since 2×34424324402 = 23700682207928707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3442432398 and 3442432407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76215 + ... + 112665.

It is an arithmetic number, because the mean of its divisors is an integer number (161573490).

Almost surely, 23442432440 is an apocalyptic number.

3442432440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3442432440 is an abundant number, since it is smaller than the sum of its proper divisors (6898270920).

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

3442432440 is a wasteful number, since it uses less digits than its factorization.

3442432440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37252 (or 37248 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 3442432440 is about 58672.2459089474. The cubic root of 3442432440 is about 1509.9241866531.

Adding to 3442432440 its reverse (442342443), we get a palindrome (3884774883).

The spelling of 3442432440 in words is "three billion, four hundred forty-two million, four hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 787 1574 2361 3148 3935 4722 6296 7870 9444 11805 15740 18888 23610 31480 36451 47220 72902 94440 109353 145804 182255 218706 291608 364510 437412 546765 729020 874824 1093530 1458040 2187060 4374120 28686937 57373874 86060811 114747748 143434685 172121622 229495496 286869370 344243244 430304055 573738740 688486488 860608110 1147477480 1721216220 3442432440