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3440054040 = 2335175331817
BaseRepresentation
bin1100110100001011…
…0000111100011000
322212202001211222220
43031002300330120
524021123212130
61325204144040
7151150656033
oct31502607430
98782054886
103440054040
111505903575
12800098020
1342a90b147
14248c3601a
1515201a410
hexcd0b0f18

3440054040 has 128 divisors (see below), whose sum is σ = 11133754560. Its totient is φ = 847069184.

The previous prime is 3440054029. The next prime is 3440054071. The reversal of 3440054040 is 404500443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3440054040.

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, 92212 + ... + 124028.

Almost surely, 23440054040 is an apocalyptic number.

3440054040 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 3440054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5566877280).

3440054040 is an abundant number, since it is smaller than the sum of its proper divisors (7693700520).

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

3440054040 is a wasteful number, since it uses less digits than its factorization.

3440054040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31901 (or 31897 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 3440054040 is about 58651.9738798278. The cubic root of 3440054040 is about 1509.5763675719.

Adding to 3440054040 its reverse (404500443), we get a palindrome (3844554483).

The spelling of 3440054040 in words is "three billion, four hundred forty million, fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 53 60 68 85 102 106 120 136 159 170 204 212 255 265 318 340 408 424 510 530 636 680 795 901 1020 1060 1272 1590 1802 2040 2120 2703 3180 3604 4505 5406 6360 7208 9010 10812 13515 18020 21624 27030 31817 36040 54060 63634 95451 108120 127268 159085 190902 254536 318170 381804 477255 540889 636340 763608 954510 1081778 1272680 1622667 1686301 1909020 2163556 2704445 3245334 3372602 3818040 4327112 5058903 5408890 6490668 6745204 8113335 8431505 10117806 10817780 12981336 13490408 16226670 16863010 20235612 21635560 25294515 28667117 32453340 33726020 40471224 50589030 57334234 64906680 67452040 86001351 101178060 114668468 143335585 172002702 202356120 229336936 286671170 344005404 430006755 573342340 688010808 860013510 1146684680 1720027020 3440054040