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3489697080 = 233452346829
BaseRepresentation
bin1101000000000000…
…1000110100111000
3100000012110222110000
43100000020310320
524121330301310
61334140153000
7152322635652
oct32000106470
910005428400
103489697080
111530930081
12814838760
13437c9cc1c
142516796d2
151565744c0
hexd0008d38

3489697080 has 160 divisors (see below), whose sum is σ = 12239488800. Its totient is φ = 890106624.

The previous prime is 3489697067. The next prime is 3489697109. The reversal of 3489697080 is 807969843.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51106 + ... + 97934.

It is an arithmetic number, because the mean of its divisors is an integer number (76496805).

Almost surely, 23489697080 is an apocalyptic number.

3489697080 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 3489697080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6119744400).

3489697080 is an abundant number, since it is smaller than the sum of its proper divisors (8749791720).

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

3489697080 is a wasteful number, since it uses less digits than its factorization.

3489697080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46875 (or 46862 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 3489697080 is about 59073.6580888639. The cubic root of 3489697080 is about 1516.8032248870.

It can be divided in two parts, 3489 and 697080, that added together give a square (700569 = 8372).

The spelling of 3489697080 in words is "three billion, four hundred eighty-nine million, six hundred ninety-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 81 90 92 108 115 120 135 138 162 180 184 207 216 230 270 276 324 345 360 405 414 460 540 552 621 648 690 810 828 920 1035 1080 1242 1380 1620 1656 1863 2070 2484 2760 3105 3240 3726 4140 4968 6210 7452 8280 9315 12420 14904 18630 24840 37260 46829 74520 93658 140487 187316 234145 280974 374632 421461 468290 561948 702435 842922 936580 1077067 1123896 1264383 1404870 1685844 1873160 2107305 2154134 2528766 2809740 3231201 3371688 3793149 4214610 4308268 5057532 5385335 5619480 6321915 6462402 7586298 8429220 8616536 9693603 10115064 10770670 12643830 12924804 15172596 16156005 16858440 18965745 19387206 21541340 25287660 25849608 29080809 30345192 32312010 37931490 38774412 43082680 48468015 50575320 58161618 64624020 75862980 77548824 87242427 96936030 116323236 129248040 145404045 151725960 174484854 193872060 232646472 290808090 348969708 387744120 436212135 581616180 697939416 872424270 1163232360 1744848540 3489697080