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3351630380 = 2257223241617
BaseRepresentation
bin1100011111000101…
…1101001000101100
322122120200110112112
43013301131020230
523331004133010
61312325023152
7146025250100
oct30761351054
98576613475
103351630380
11146a9a956a
12796554ab8
134154bb857
1423b1b9900
151493a0a05
hexc7c5d22c

3351630380 has 144 divisors (see below), whose sum is σ = 8592889536. Its totient is φ = 1092833280.

The previous prime is 3351630353. The next prime is 3351630389. The reversal of 3351630380 is 830361533.

3351630380 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 2×33516303802 = 22466852408277888800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3351630389) 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, 5431832 + ... + 5432448.

It is an arithmetic number, because the mean of its divisors is an integer number (59672844).

Almost surely, 23351630380 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 3351630380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296444768).

3351630380 is an abundant number, since it is smaller than the sum of its proper divisors (5241259156).

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

3351630380 is a wasteful number, since it uses less digits than its factorization.

3351630380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 3351630380 is about 57893.2671387615. The cubic root of 3351630380 is about 1496.5298121291.

The spelling of 3351630380 in words is "three billion, three hundred fifty-one million, six hundred thirty thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 241 245 322 460 482 490 617 644 805 964 980 1127 1205 1234 1610 1687 2254 2410 2468 3085 3220 3374 4319 4508 4820 5543 5635 6170 6748 8435 8638 11086 11270 11809 12340 14191 16870 17276 21595 22172 22540 23618 27715 28382 30233 33740 38801 43190 47236 55430 56764 59045 60466 70955 77602 86380 99337 110860 118090 120932 141910 148697 151165 155204 194005 198674 236180 271607 283820 297394 302330 388010 397348 496685 543214 594788 604660 695359 743485 776020 993370 1040879 1086428 1358035 1390718 1486970 1986740 2081758 2716070 2781436 2973940 3420031 3476795 4163516 5204395 5432140 6840062 6953590 7286153 10408790 13680124 13907180 14572306 17100155 20817580 23940217 29144612 34200310 36430765 47880434 68400620 72861530 95760868 119701085 145723060 167581519 239402170 335163038 478804340 670326076 837907595 1675815190 3351630380