Search a number
-
+
3354210640 = 2451189113379
BaseRepresentation
bin1100011111101101…
…0011000101010000
322122202112112222201
43013323103011100
523332134220030
61312500212544
7146056214524
oct30773230520
98582475881
103354210640
111471401110
1279739a154
13415bb3131
1423b68bd84
151497102ca
hexc7ed3150

3354210640 has 160 divisors (see below), whose sum is σ = 8702121600. Its totient is φ = 1192181760.

The previous prime is 3354210547. The next prime is 3354210683. The reversal of 3354210640 is 460124533.

3354210640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33542106402 = 22501458034978419200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3354210599 and 3354210608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8849971 + ... + 8850349.

It is an arithmetic number, because the mean of its divisors is an integer number (54388260).

Almost surely, 23354210640 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 3354210640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4351060800).

3354210640 is an abundant number, since it is smaller than the sum of its proper divisors (5347910960).

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

3354210640 is a wasteful number, since it uses less digits than its factorization.

3354210640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 3354210640 is about 57915.5474807931. The cubic root of 3354210640 is about 1496.9137492072.

The spelling of 3354210640 in words is "three billion, three hundred fifty-four million, two hundred ten thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 89 110 113 176 178 220 226 356 379 440 445 452 565 712 758 880 890 904 979 1130 1243 1424 1516 1780 1808 1895 1958 2260 2486 3032 3560 3790 3916 4169 4520 4895 4972 6064 6215 7120 7580 7832 8338 9040 9790 9944 10057 12430 15160 15664 16676 19580 19888 20114 20845 24860 30320 33352 33731 39160 40228 41690 42827 49720 50285 66704 67462 78320 80456 83380 85654 99440 100570 110627 134924 160912 166760 168655 171308 201140 214135 221254 269848 333520 337310 342616 371041 402280 428270 442508 471097 539696 553135 674620 685232 742082 804560 856540 885016 942194 1106270 1349240 1484164 1713080 1770032 1855205 1884388 2212540 2355485 2698480 2968328 3426160 3710410 3768776 3811603 4425080 4710970 5936656 7420820 7537552 7623206 8850160 9421940 14841640 15246412 18843880 19058015 29683280 30492824 37687760 38116030 41927633 60985648 76232060 83855266 152464120 167710532 209638165 304928240 335421064 419276330 670842128 838552660 1677105320 3354210640