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34439040 = 273351993
BaseRepresentation
bin1000001101011…
…1111110000000
32101210200111000
42003113332000
532304022130
63230052000
7565504236
oct203277600
971720430
1034439040
1118492619
12b64a000
13719a63c
144806956
153054260
hex20d7f80

34439040 has 128 divisors (see below), whose sum is σ = 122032800. Its totient is φ = 9179136.

The previous prime is 34439021. The next prime is 34439099. The reversal of 34439040 is 4093443.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×344390402 = 2372094952243200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 34438995 and 34439013.

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, 16284 + ... + 18276.

Almost surely, 234439040 is an apocalyptic number.

34439040 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 34439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61016400).

34439040 is an abundant number, since it is smaller than the sum of its proper divisors (87593760).

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

34439040 is a wasteful number, since it uses less digits than its factorization.

34439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021 (or 2003 counting only the distinct ones).

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

The square root of 34439040 is about 5868.4785080973. The cubic root of 34439040 is about 325.3496513061.

The spelling of 34439040 in words is "thirty-four million, four hundred thirty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 1993 2160 2880 3456 3986 4320 5760 5979 7972 8640 9965 11958 15944 17280 17937 19930 23916 29895 31888 35874 39860 47832 53811 59790 63776 71748 79720 89685 95664 107622 119580 127552 143496 159440 179370 191328 215244 239160 255104 269055 286992 318880 358740 382656 430488 478320 538110 573984 637760 717480 765312 860976 956640 1076220 1147968 1275520 1434960 1721952 1913280 2152440 2295936 2869920 3443904 3826560 4304880 5739840 6887808 8609760 11479680 17219520 34439040