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34126440 = 2335284387
BaseRepresentation
bin1000001000101…
…1101001101000
32101012210200020
42002023221220
532214021230
63215240440
7563032665
oct202135150
971183606
1034126440
1118299777
12b519120
1370bb27a
144764a6c
152ee1810
hex208ba68

34126440 has 32 divisors (see below), whose sum is σ = 102379680. Its totient is φ = 9100352.

The previous prime is 34126439. The next prime is 34126441. The reversal of 34126440 is 4462143.

It is an interprime number because it is at equal distance from previous prime (34126439) and next prime (34126441).

It is a super-2 number, since 2×341264402 = 2329227814147200, which contains 22 as substring.

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 34126440.

It is not an unprimeable number, because it can be changed into a prime (34126441) 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, 142074 + ... + 142313.

It is an arithmetic number, because the mean of its divisors is an integer number (3199365).

Almost surely, 234126440 is an apocalyptic number.

34126440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34126440 is an abundant number, since it is smaller than the sum of its proper divisors (68253240).

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

34126440 is a wasteful number, since it uses less digits than its factorization.

34126440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284401 (or 284397 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 34126440 is about 5841.7839740956. The cubic root of 34126440 is about 324.3622681657.

Adding to 34126440 its reverse (4462143), we get a palindrome (38588583).

The spelling of 34126440 in words is "thirty-four million, one hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 284387 568774 853161 1137548 1421935 1706322 2275096 2843870 3412644 4265805 5687740 6825288 8531610 11375480 17063220 34126440