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34455420 = 22325672857
BaseRepresentation
bin1000001101101…
…1111101111100
32101211111221200
42003123331330
532310033140
63230255500
7565603056
oct203337574
971744850
1034455420
11184a395a
12b657590
1371a4c2c
14480c8d6
153059030
hex20dbf7c

34455420 has 72 divisors (see below), whose sum is σ = 106111824. Its totient is φ = 9047808.

The previous prime is 34455419. The next prime is 34455431. The reversal of 34455420 is 2455443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10632 + ... + 13488.

Almost surely, 234455420 is an apocalyptic number.

34455420 is a gapful number since it is divisible by the number (30) 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 34455420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53055912).

34455420 is an abundant number, since it is smaller than the sum of its proper divisors (71656404).

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

34455420 is a wasteful number, since it uses less digits than its factorization.

34455420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 34455420 is about 5869.8739339103. The cubic root of 34455420 is about 325.4012243911.

The spelling of 34455420 in words is "thirty-four million, four hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 2857 3015 4020 5714 6030 8571 11428 12060 14285 17142 25713 28570 34284 42855 51426 57140 85710 102852 128565 171420 191419 257130 382838 514260 574257 765676 957095 1148514 1722771 1914190 2297028 2871285 3445542 3828380 5742570 6891084 8613855 11485140 17227710 34455420