Search a number
-
+
34454040 = 2335287117
BaseRepresentation
bin1000001101101…
…1101000011000
32101211110001120
42003123220120
532310012130
63230245240
7565566045
oct203335030
971743046
1034454040
11184a2915
12b656820
1371a440a
14480c1cc
153058910
hex20dba18

34454040 has 32 divisors (see below), whose sum is σ = 103362480. Its totient is φ = 9187712.

The previous prime is 34454003. The next prime is 34454041. The reversal of 34454040 is 4045443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34454040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34454041) 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 7 ways as a sum of consecutive naturals, for example, 143439 + ... + 143678.

Almost surely, 234454040 is an apocalyptic number.

34454040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34454040 is an abundant number, since it is smaller than the sum of its proper divisors (68908440).

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

34454040 is a wasteful number, since it uses less digits than its factorization.

34454040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287131 (or 287127 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 34454040 is about 5869.7563833604. The cubic root of 34454040 is about 325.3968800365.

Adding to 34454040 its reverse (4045443), we get a palindrome (38499483).

The spelling of 34454040 in words is "thirty-four million, four hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 287117 574234 861351 1148468 1435585 1722702 2296936 2871170 3445404 4306755 5742340 6890808 8613510 11484680 17227020 34454040