Search a number
-
+
3354210144 = 253219612977
BaseRepresentation
bin1100011111101101…
…0010111101100000
322122202112112022100
43013323102331200
523332134211034
61312500210400
7146056213215
oct30773227540
98582475270
103354210144
1114714007aa
12797399a00
13415bb2b3c
1423b68bb0c
15149710099
hexc7ed2f60

3354210144 has 72 divisors (see below), whose sum is σ = 10040579640. Its totient is φ = 1059222528.

The previous prime is 3354210107. The next prime is 3354210149. The reversal of 3354210144 is 4410124533.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33542101442 = 22501451380225001472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3354210149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301017 + ... + 311960.

It is an arithmetic number, because the mean of its divisors is an integer number (139452495).

Almost surely, 23354210144 is an apocalyptic number.

It is an amenable number.

3354210144 is an abundant number, since it is smaller than the sum of its proper divisors (6686369496).

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

3354210144 is a wasteful number, since it uses less digits than its factorization.

3354210144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613012 (or 613001 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3354210144 is about 57915.5431986958. The cubic root of 3354210144 is about 1496.9136754224.

Adding to 3354210144 its reverse (4410124533), we get a palindrome (7764334677).

It can be divided in two parts, 33542101 and 44, that added together give a triangular number (33542145 = T8190).

The spelling of 3354210144 in words is "three billion, three hundred fifty-four million, two hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 612977 1225954 1838931 2451908 3677862 4903816 5516793 7355724 9807632 11033586 11646563 14711448 19615264 22067172 23293126 29422896 34939689 44134344 46586252 58845792 69879378 88268688 93172504 104819067 139758756 176537376 186345008 209638134 279517512 372690016 419276268 559035024 838552536 1118070048 1677105072 3354210144