Search a number
-
+
34807464 = 23322321019
BaseRepresentation
bin1000010011000…
…1111010101000
32102111101212100
42010301322220
532402314324
63242013400
7601600326
oct204617250
972441770
1034807464
11187143aa
12b7a7260
137299243
1448a0d16
1530c84c9
hex2131ea8

34807464 has 48 divisors (see below), whose sum is σ = 98373600. Its totient is φ = 11097504.

The previous prime is 34807459. The next prime is 34807469. The reversal of 34807464 is 46470843.

It is an interprime number because it is at equal distance from previous prime (34807459) and next prime (34807469).

It is a super-2 number, since 2×348074642 = 2423119100222592, 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 (34807469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8854 + ... + 12165.

It is an arithmetic number, because the mean of its divisors is an integer number (2049450).

Almost surely, 234807464 is an apocalyptic number.

It is an amenable number.

34807464 is an abundant number, since it is smaller than the sum of its proper divisors (63566136).

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

34807464 is a wasteful number, since it uses less digits than its factorization.

34807464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21054 (or 21047 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 34807464 is about 5899.7850808313. The cubic root of 34807464 is about 326.5057201512.

The spelling of 34807464 in words is "thirty-four million, eight hundred seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 21019 42038 63057 84076 126114 168152 189171 252228 378342 483437 504456 756684 966874 1450311 1513368 1933748 2900622 3867496 4350933 5801244 8701866 11602488 17403732 34807464