Search a number
-
+
3420690372 = 2233113318699
BaseRepresentation
bin1100101111100011…
…1001011111000100
322211101122002001000
43023320321133010
524001144042442
61323233133300
7150524250141
oct31370713704
98741562030
103420690372
1114a5988340
127b56ba230
134268bb558
142464353c8
15150492d4c
hexcbe397c4

3420690372 has 96 divisors (see below), whose sum is σ = 9705024000. Its totient is φ = 1033322400.

The previous prime is 3420690359. The next prime is 3420690379. The reversal of 3420690372 is 2730960243.

It is a happy number.

It is a super-2 number, since 2×34206903722 = 23402245242186996768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3420690379) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388879 + ... + 397577.

It is an arithmetic number, because the mean of its divisors is an integer number (101094000).

Almost surely, 23420690372 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 3420690372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4852512000).

3420690372 is an abundant number, since it is smaller than the sum of its proper divisors (6284333628).

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

3420690372 is a wasteful number, since it uses less digits than its factorization.

3420690372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9054 (or 9046 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3420690372 is about 58486.6683270641. The cubic root of 3420690372 is about 1506.7386259477.

The spelling of 3420690372 in words is "three billion, four hundred twenty million, six hundred ninety thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 331 396 594 662 993 1188 1324 1986 2979 3641 3972 5958 7282 8699 8937 10923 11916 14564 17398 17874 21846 26097 32769 34796 35748 43692 52194 65538 78291 95689 98307 104388 131076 156582 191378 196614 234873 287067 313164 382756 393228 469746 574134 861201 939492 1148268 1722402 2583603 2879369 3444804 5167206 5758738 8638107 10334412 11517476 17276214 25914321 31673059 34552428 51828642 63346118 77742963 95019177 103657284 126692236 155485926 190038354 285057531 310971852 380076708 570115062 855172593 1140230124 1710345186 3420690372