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34422720 = 2635231559
BaseRepresentation
bin1000001101001…
…1111111000000
32101202212002120
42003103333000
532303011340
63225444240
7565405533
oct203237700
971685076
1034422720
1118481332
12b640680
137193097
144800a1a
15304e4d0
hex20d3fc0

34422720 has 112 divisors (see below), whose sum is σ = 114117120. Its totient is φ = 8774656.

The previous prime is 34422709. The next prime is 34422779. The reversal of 34422720 is 2722443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21301 + ... + 22859.

Almost surely, 234422720 is an apocalyptic number.

34422720 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 34422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57058560).

34422720 is an abundant number, since it is smaller than the sum of its proper divisors (79694400).

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

34422720 is a wasteful number, since it uses less digits than its factorization.

34422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 34422720 is about 5867.0878636680. The cubic root of 34422720 is about 325.2982508678.

The spelling of 34422720 in words is "thirty-four million, four hundred twenty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1559 1840 2208 2760 3118 3680 4416 4677 5520 6236 7360 7795 9354 11040 12472 15590 18708 22080 23385 24944 31180 35857 37416 46770 49888 62360 71714 74832 93540 99776 107571 124720 143428 149664 179285 187080 215142 249440 286856 299328 358570 374160 430284 498880 537855 573712 717140 748320 860568 1075710 1147424 1434280 1496640 1721136 2151420 2294848 2868560 3442272 4302840 5737120 6884544 8605680 11474240 17211360 34422720