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34923420 = 2233579239
BaseRepresentation
bin1000010100111…
…0001110011100
32102201021221000
42011032032130
532420022140
63244310300
7602562360
oct205161634
972637830
1034923420
1118793534
12b842390
137309c5c
1448d12a0
1530eca30
hex214e39c

34923420 has 96 divisors (see below), whose sum is σ = 124185600. Its totient is φ = 7981632.

The previous prime is 34923403. The next prime is 34923433. The reversal of 34923420 is 2432943.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 840 + ... + 8399.

It is an arithmetic number, because the mean of its divisors is an integer number (1293600).

Almost surely, 234923420 is an apocalyptic number.

34923420 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 34923420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62092800).

34923420 is an abundant number, since it is smaller than the sum of its proper divisors (89262180).

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

34923420 is a wasteful number, since it uses less digits than its factorization.

34923420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9264 (or 9256 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34923420 is about 5909.6040476499. The cubic root of 34923420 is about 326.8678870406.

The spelling of 34923420 in words is "thirty-four million, nine hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 9239 18478 27717 36956 46195 55434 64673 83151 92390 110868 129346 138585 166302 184780 194019 249453 258692 277170 323365 332604 388038 415755 498906 554340 582057 646730 776076 831510 970095 997812 1164114 1247265 1293460 1663020 1746171 1940190 2328228 2494530 2910285 3492342 3880380 4989060 5820570 6984684 8730855 11641140 17461710 34923420