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3428721120 = 253511649379
BaseRepresentation
bin1100110001011110…
…0010000111100000
322211221202002011010
43030113202013200
524010223033440
61324121220520
7150652435326
oct31427420740
98757662133
103428721120
1114aa472a20
127b8331740
13428470986
14247525d16
1515102c580
hexcc5e21e0

3428721120 has 96 divisors (see below), whose sum is σ = 11782350720. Its totient is φ = 831203840.

The previous prime is 3428721091. The next prime is 3428721139. The reversal of 3428721120 is 211278243.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×34287211202 = 23512257037468108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319410 + ... + 329969.

It is an arithmetic number, because the mean of its divisors is an integer number (122732820).

Almost surely, 23428721120 is an apocalyptic number.

3428721120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3428721120 is an abundant number, since it is smaller than the sum of its proper divisors (8353629600).

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

3428721120 is a wasteful number, since it uses less digits than its factorization.

3428721120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649408 (or 649400 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3428721120 is about 58555.2825968759. The cubic root of 3428721120 is about 1507.9168268358.

Adding to 3428721120 its reverse (211278243), we get a palindrome (3639999363).

The spelling of 3428721120 in words is "three billion, four hundred twenty-eight million, seven hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 649379 1298758 1948137 2597516 3246895 3896274 5195032 6493790 7143169 7792548 9740685 10390064 12987580 14286338 15585096 19481370 20780128 21429507 25975160 28572676 31170192 35715845 38962740 42859014 51950320 57145352 62340384 71431690 77925480 85718028 103900640 107147535 114290704 142863380 155850960 171436056 214295070 228581408 285726760 311701920 342872112 428590140 571453520 685744224 857180280 1142907040 1714360560 3428721120