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34402080 = 253571671
BaseRepresentation
bin1000001100111…
…0111100100000
32101201210210010
42003032330200
532301331310
63225204520
7565261416
oct203167440
971653703
1034402080
1118467879
12b630740
13718687b
1447d72b6
153048320
hex20cef20

34402080 has 48 divisors (see below), whose sum is σ = 108368064. Its totient is φ = 9173760.

The previous prime is 34402063. The next prime is 34402087. The reversal of 34402080 is 8020443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (34402087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35356 + ... + 36315.

It is an arithmetic number, because the mean of its divisors is an integer number (2257668).

Almost surely, 234402080 is an apocalyptic number.

34402080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34402080 is an abundant number, since it is smaller than the sum of its proper divisors (73965984).

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

34402080 is a wasteful number, since it uses less digits than its factorization.

34402080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71689 (or 71681 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 34402080 is about 5865.3286352940. The cubic root of 34402080 is about 325.2332211598.

The spelling of 34402080 in words is "thirty-four million, four hundred two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 71671 143342 215013 286684 358355 430026 573368 716710 860052 1075065 1146736 1433420 1720104 2150130 2293472 2866840 3440208 4300260 5733680 6880416 8600520 11467360 17201040 34402080