Search a number
-
+
3400541004 = 223725783233
BaseRepresentation
bin1100101010110000…
…0010001101001100
322202222201101022010
43022230002031030
523431014303004
61321233221220
7150161056500
oct31254021514
98688641263
103400541004
111495575873
127aaa01810
13422685153
142438ac300
1514d812a89
hexcab0234c

3400541004 has 36 divisors (see below), whose sum is σ = 9230041464. Its totient is φ = 971582976.

The previous prime is 3400540967. The next prime is 3400541009. The reversal of 3400541004 is 4001450043.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (3400541009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2891029 + ... + 2892204.

Almost surely, 23400541004 is an apocalyptic number.

It is an amenable number.

3400541004 is an abundant number, since it is smaller than the sum of its proper divisors (5829500460).

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

3400541004 is a wasteful number, since it uses less digits than its factorization.

3400541004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5783254 (or 5783245 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 3400541004 is about 58314.1578349546. The cubic root of 3400541004 is about 1503.7743473469.

Adding to 3400541004 its reverse (4001450043), we get a palindrome (7401991047).

The spelling of 3400541004 in words is "three billion, four hundred million, five hundred forty-one thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 5783233 11566466 17349699 23132932 34699398 40482631 69398796 80965262 121447893 161930524 242895786 283378417 485791572 566756834 850135251 1133513668 1700270502 3400541004