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3145234440 = 233529903803
BaseRepresentation
bin1011101101111000…
…0111100000001000
322010012022110112110
42323132013200020
522420140000230
61240033142320
7140641023465
oct27336074010
98105273473
103145234440
111374448207
127393ba9a0
133b180528a
1421ba1066c
151361d14b0
hexbb787808

3145234440 has 64 divisors (see below), whose sum is σ = 9761083200. Its totient is φ = 809806592.

The previous prime is 3145234439. The next prime is 3145234523. The reversal of 3145234440 is 444325413.

It is a super-2 number, since 2×31452344402 = 19784999365124227200, 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 = 3145234398 and 3145234407.

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, 448422 + ... + 455381.

It is an arithmetic number, because the mean of its divisors is an integer number (152516925).

Almost surely, 23145234440 is an apocalyptic number.

3145234440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3145234440 is an abundant number, since it is smaller than the sum of its proper divisors (6615848760).

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

3145234440 is a wasteful number, since it uses less digits than its factorization.

3145234440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903846 (or 903842 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 3145234440 is about 56082.3897493678. The cubic root of 3145234440 is about 1465.1575954432.

Adding to 3145234440 its reverse (444325413), we get a palindrome (3589559853).

The spelling of 3145234440 in words is "three billion, one hundred forty-five million, two hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 903803 1807606 2711409 3615212 4519015 5422818 7230424 9038030 10845636 13557045 18076060 21691272 26210287 27114090 36152120 52420574 54228180 78630861 104841148 108456360 131051435 157261722 209682296 262102870 314523444 393154305 524205740 629046888 786308610 1048411480 1572617220 3145234440