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3355401240 = 233353783969
BaseRepresentation
bin1100011111111111…
…0101110000011000
322122211210001012000
43013333311300120
523332440314430
61312541521000
7146102303622
oct30777656030
98584701160
103355401240
111472044684
12797873160
1341620c029
1423b8bbc12
15149897e60
hexc7ff5c18

3355401240 has 128 divisors (see below), whose sum is σ = 11487096000. Its totient is φ = 870580224.

The previous prime is 3355401229. The next prime is 3355401289. The reversal of 3355401240 is 421045533.

It is a super-3 number, since 3×33554012403 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2025 + ... + 81944.

Almost surely, 23355401240 is an apocalyptic number.

3355401240 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 3355401240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5743548000).

3355401240 is an abundant number, since it is smaller than the sum of its proper divisors (8131694760).

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

3355401240 is a wasteful number, since it uses less digits than its factorization.

3355401240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84026 (or 84016 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3355401240 is about 57925.8253286045. The cubic root of 3355401240 is about 1497.0908415121.

Adding to 3355401240 its reverse (421045533), we get a palindrome (3776446773).

The spelling of 3355401240 in words is "three billion, three hundred fifty-five million, four hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 90 108 111 120 135 148 180 185 216 222 270 296 333 360 370 444 540 555 666 740 888 999 1080 1110 1332 1480 1665 1998 2220 2664 3330 3996 4440 4995 6660 7992 9990 13320 19980 39960 83969 167938 251907 335876 419845 503814 671752 755721 839690 1007628 1259535 1511442 1679380 2015256 2267163 2519070 3022884 3106853 3358760 3778605 4534326 5038140 6045768 6213706 7557210 9068652 9320559 10076280 11335815 12427412 15114420 15534265 18137304 18641118 22671630 24854824 27961677 30228840 31068530 37282236 45343260 46602795 55923354 62137060 74564472 83885031 90686520 93205590 111846708 124274120 139808385 167770062 186411180 223693416 279616770 335540124 372822360 419425155 559233540 671080248 838850310 1118467080 1677700620 3355401240