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3421200432 = 243135992927
BaseRepresentation
bin1100101111101011…
…0110000000110000
322211102120222201010
43023322312000300
524001311403212
61323252110520
7150531503166
oct31372660060
98742528633
103421200432
1114a61a6581
127b5905440
13426a39770
14246529236
1515054403c
hexcbeb6030

3421200432 has 80 divisors (see below), whose sum is σ = 9679380480. Its totient is φ = 1034823936.

The previous prime is 3421200427. The next prime is 3421200451. The reversal of 3421200432 is 2340021243.

It is a super-2 number, since 2×34212004322 = 23409224791833973248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3421200399 and 3421200408.

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, 9648 + ... + 83279.

It is an arithmetic number, because the mean of its divisors is an integer number (120992256).

Almost surely, 23421200432 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 3421200432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839690240).

3421200432 is an abundant number, since it is smaller than the sum of its proper divisors (6258180048).

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

3421200432 is a wasteful number, since it uses less digits than its factorization.

3421200432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93010 (or 93004 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3421200432 is about 58491.0286454256. The cubic root of 3421200432 is about 1506.8135122839.

Adding to 3421200432 its reverse (2340021243), we get a palindrome (5761221675).

The spelling of 3421200432 in words is "three billion, four hundred twenty-one million, two hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 59 78 104 118 156 177 208 236 312 354 472 624 708 767 944 1416 1534 2301 2832 3068 4602 6136 9204 12272 18408 36816 92927 185854 278781 371708 557562 743416 1115124 1208051 1486832 2230248 2416102 3624153 4460496 4832204 5482693 7248306 9664408 10965386 14496612 16448079 19328816 21930772 28993224 32896158 43861544 57986448 65792316 71275009 87723088 131584632 142550018 213825027 263169264 285100036 427650054 570200072 855300108 1140400144 1710600216 3421200432