Search a number
-
+
3464147040 = 25357216973
BaseRepresentation
bin1100111001111010…
…1011000001100000
322221102101220101020
43032132223001200
524043310201130
61331424405440
7151562523024
oct31636530140
98842356336
103464147040
111518469a42
12808176880
134328c5563
1424c108384
151541c8e10
hexce7ab060

3464147040 has 48 divisors (see below), whose sum is σ = 10912064688. Its totient is φ = 923772416.

The previous prime is 3464147039. The next prime is 3464147053. The reversal of 3464147040 is 407414643.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 3464146992 and 3464147010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3608007 + ... + 3608966.

It is an arithmetic number, because the mean of its divisors is an integer number (227334681).

Almost surely, 23464147040 is an apocalyptic number.

3464147040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3464147040 is an abundant number, since it is smaller than the sum of its proper divisors (7447917648).

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

3464147040 is a wasteful number, since it uses less digits than its factorization.

3464147040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7216991 (or 7216983 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 3464147040 is about 58857.0050206430. The cubic root of 3464147040 is about 1513.0923631060.

The spelling of 3464147040 in words is "three billion, four hundred sixty-four million, one hundred forty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 7216973 14433946 21650919 28867892 36084865 43301838 57735784 72169730 86603676 108254595 115471568 144339460 173207352 216509190 230943136 288678920 346414704 433018380 577357840 692829408 866036760 1154715680 1732073520 3464147040