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34083700 = 22527232973
BaseRepresentation
bin1000001000000…
…1001101110100
32101010122001021
42002001031310
532211134300
63214310524
7562464250
oct202011564
971118037
1034083700
111826a652
12b4b8444
1370a4991
144753260
152ed3d1a
hex2081374

34083700 has 144 divisors (see below), whose sum is σ = 92494080. Its totient is φ = 10644480.

The previous prime is 34083667. The next prime is 34083703. The reversal of 34083700 is 738043.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34083703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466864 + ... + 466936.

It is an arithmetic number, because the mean of its divisors is an integer number (642320).

Almost surely, 234083700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34083700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46247040).

34083700 is an abundant number, since it is smaller than the sum of its proper divisors (58410380).

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

34083700 is a wasteful number, since it uses less digits than its factorization.

34083700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 34083700 is about 5838.1246989080. The cubic root of 34083700 is about 324.2268010146.

The spelling of 34083700 in words is "thirty-four million, eighty-three thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 29 35 46 50 58 70 73 92 100 115 116 140 145 146 161 175 203 230 290 292 322 350 365 406 460 511 575 580 644 667 700 725 730 805 812 1015 1022 1150 1334 1450 1460 1610 1679 1825 2030 2044 2117 2300 2555 2668 2900 3220 3335 3358 3650 4025 4060 4234 4669 5075 5110 6670 6716 7300 8050 8395 8468 9338 10150 10220 10585 11753 12775 13340 14819 16100 16675 16790 18676 20300 21170 23345 23506 25550 29638 33350 33580 41975 42340 46690 47012 48691 51100 52925 58765 59276 66700 74095 83950 93380 97382 105850 116725 117530 148190 167900 194764 211700 233450 235060 243455 293825 296380 340837 370475 466900 486910 587650 681674 740950 973820 1175300 1217275 1363348 1481900 1704185 2434550 3408370 4869100 6816740 8520925 17041850 34083700