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3411002420 = 2257151317509
BaseRepresentation
bin1100101101001111…
…1100010000110100
322210201101212122222
43023103330100310
523441204034140
61322245341512
7150346020320
oct31323742064
98721355588
103411002420
1114a0470671
127b2407898
134248a8a37
14245032980
1514e6cc5b5
hexcb4fc434

3411002420 has 96 divisors (see below), whose sum is σ = 8282856960. Its totient is φ = 1155801600.

The previous prime is 3411002347. The next prime is 3411002471. The reversal of 3411002420 is 242001143.

3411002420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 6701126 + ... + 6701634.

It is an arithmetic number, because the mean of its divisors is an integer number (86279760).

Almost surely, 23411002420 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 3411002420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141428480).

3411002420 is an abundant number, since it is smaller than the sum of its proper divisors (4871854540).

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

3411002420 is a wasteful number, since it uses less digits than its factorization.

3411002420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 3411002420 is about 58403.7877196334. The cubic root of 3411002420 is about 1505.3148379420.

Adding to 3411002420 its reverse (242001143), we get a palindrome (3653003563).

The spelling of 3411002420 in words is "three billion, four hundred eleven million, two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 151 302 317 509 604 634 755 1018 1057 1268 1510 1585 2036 2114 2219 2545 3020 3170 3563 4228 4438 5090 5285 6340 7126 8876 10180 10570 11095 14252 17815 21140 22190 35630 44380 47867 71260 76859 95734 153718 161353 191468 239335 307436 322706 335069 384295 478670 538013 645412 670138 768590 806765 957340 1076026 1129471 1340276 1537180 1613530 1675345 2152052 2258942 2690065 3227060 3350690 4517884 5380130 5647355 6701380 10760260 11294710 22589420 24364303 48728606 97457212 121821515 170550121 243643030 341100242 487286060 682200484 852750605 1705501210 3411002420