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34040480 = 255316863
BaseRepresentation
bin1000000111011…
…0101010100000
32101001102202112
42001312222200
532203243410
63213334452
7562224245
oct201665240
971042675
1034040480
1118240131
12b497428
13708b0c6
1447415cc
152ec6105
hex2076aa0

34040480 has 48 divisors (see below), whose sum is σ = 83026944. Its totient is φ = 13175040.

The previous prime is 34040473. The next prime is 34040491. The reversal of 34040480 is 8404043.

It is a super-3 number, since 3×340404803 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1529 + ... + 8391.

It is an arithmetic number, because the mean of its divisors is an integer number (1729728).

Almost surely, 234040480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41513472).

34040480 is an abundant number, since it is smaller than the sum of its proper divisors (48986464).

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

34040480 is a wasteful number, since it uses less digits than its factorization.

34040480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6909 (or 6901 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 34040480 is about 5834.4219936511. The cubic root of 34040480 is about 324.0896972608.

The spelling of 34040480 in words is "thirty-four million, forty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 6863 13726 27452 34315 54904 68630 109808 137260 212753 219616 274520 425506 549040 851012 1063765 1098080 1702024 2127530 3404048 4255060 6808096 8510120 17020240 34040480