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3496887940 = 2257213833307
BaseRepresentation
bin1101000001101110…
…0100011010000100
3100000201000022110011
43100123210122010
524130200403230
61334554240004
7152441025400
oct32033443204
910021008404
103496887940
1115349a1737
12817126004
13439619c80
142525cc100
15156ee4e2a
hexd06e4684

3496887940 has 144 divisors (see below), whose sum is σ = 9313157952. Its totient is φ = 1093042944.

The previous prime is 3496887929. The next prime is 3496887949. The reversal of 3496887940 is 497886943.

It is not an unprimeable number, because it can be changed into a prime (3496887949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1055767 + ... + 1059073.

It is an arithmetic number, because the mean of its divisors is an integer number (64674708).

Almost surely, 23496887940 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 3496887940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656578976).

3496887940 is an abundant number, since it is smaller than the sum of its proper divisors (5816270012).

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

3496887940 is a wasteful number, since it uses less digits than its factorization.

3496887940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The square root of 3496887940 is about 59134.4902742892. The cubic root of 3496887940 is about 1517.8443502555.

The spelling of 3496887940 in words is "three billion, four hundred ninety-six million, eight hundred eighty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 83 91 98 130 140 166 182 196 245 260 332 364 415 455 490 581 637 830 910 980 1079 1162 1274 1660 1820 2158 2324 2548 2905 3185 3307 4067 4316 5395 5810 6370 6614 7553 8134 10790 11620 12740 13228 15106 16268 16535 20335 21580 23149 30212 33070 37765 40670 42991 46298 52871 66140 75530 81340 85982 92596 105742 115745 151060 162043 171964 211484 214955 231490 264355 274481 300937 324086 429910 462980 528710 548962 601874 648172 810215 859820 1057420 1097924 1203748 1372405 1504685 1620430 1921367 2106559 2744810 3009370 3240860 3568253 3842734 4213118 5489620 6018740 7136506 7685468 8426236 9606835 10532795 13449569 14273012 17841265 19213670 21065590 24977771 26899138 35682530 38427340 42131180 49955542 53798276 67247845 71365060 99911084 124888855 134495690 174844397 249777710 268991380 349688794 499555420 699377588 874221985 1748443970 3496887940