Search a number
-
+
2414342464 = 26193735323
BaseRepresentation
bin1000111111100111…
…1111000101000000
320020021000022020021
42033321333011000
514421032424324
61035323423224
7113554400212
oct21771770500
96207008207
102414342464
111029919256
12574684b14
132c626ac11
1418c9145b2
15e1e5aae4
hex8fe7f140

2414342464 has 56 divisors (see below), whose sum is σ = 5057587040. Its totient is φ = 1140355584.

The previous prime is 2414342461. The next prime is 2414342531. The reversal of 2414342464 is 4642434142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414342461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450907 + ... + 456229.

Almost surely, 22414342464 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 2414342464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528793520).

2414342464 is an abundant number, since it is smaller than the sum of its proper divisors (2643244576).

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

2414342464 is a wasteful number, since it uses less digits than its factorization.

2414342464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5727 (or 5717 counting only the distinct ones).

The product of its digits is 73728, while the sum is 34.

The square root of 2414342464 is about 49135.9589710021. The cubic root of 2414342464 is about 1341.5276377540.

The spelling of 2414342464 in words is "two billion, four hundred fourteen million, three hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 373 608 746 1216 1492 2984 5323 5968 7087 10646 11936 14174 21292 23872 28348 42584 56696 85168 101137 113392 170336 202274 226784 340672 404548 453568 809096 1618192 1985479 3236384 3970958 6472768 7941916 15883832 31767664 37724101 63535328 75448202 127070656 150896404 301792808 603585616 1207171232 2414342464