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1334130040 = 235432333329
BaseRepresentation
bin100111110000101…
…0011010101111000
310102222101211100201
41033201103111320
510213014130130
6340215011544
745026626645
oct11741232570
93388354321
101334130040
11625099711
12312969bb4
13183527a79
14c9286dcc
157c1d2bca
hex4f853578

1334130040 has 64 divisors (see below), whose sum is σ = 3085711200. Its totient is φ = 518848512.

The previous prime is 1334129999. The next prime is 1334130067. The reversal of 1334130040 is 400314331.

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, 399096 + ... + 402424.

Almost surely, 21334130040 is an apocalyptic number.

1334130040 is a gapful number since it is divisible by the number (10) 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 1334130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542855600).

1334130040 is an abundant number, since it is smaller than the sum of its proper divisors (1751581160).

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

1334130040 is a wasteful number, since it uses less digits than its factorization.

1334130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3616 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1334130040 is about 36525.7448931572. The cubic root of 1334130040 is about 1100.8615949364.

Adding to 1334130040 its reverse (400314331), we get a palindrome (1734444371).

The spelling of 1334130040 in words is "one billion, three hundred thirty-four million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 233 344 430 466 860 932 1165 1720 1864 2330 3329 4660 6658 9320 10019 13316 16645 20038 26632 33290 40076 50095 66580 80152 100190 133160 143147 200380 286294 400760 572588 715735 775657 1145176 1431470 1551314 2862940 3102628 3878285 5725880 6205256 7756570 15513140 31026280 33353251 66706502 133413004 166766255 266826008 333532510 667065020 1334130040