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3412442040 = 233574062431
BaseRepresentation
bin1100101101100101…
…1011101110111000
322210211010000110020
43023121123232320
523442041121130
61322340250440
7150364164420
oct31331335670
98724100406
103412442040
1114a1264237
127b29a0a20
13424c91097
142452c9480
1514e8b3e10
hexcb65bbb8

3412442040 has 64 divisors (see below), whose sum is σ = 11699804160. Its totient is φ = 779986560.

The previous prime is 3412442039. The next prime is 3412442083. The reversal of 3412442040 is 402442143.

It is a happy number.

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 3412442040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2030376 + ... + 2032055.

It is an arithmetic number, because the mean of its divisors is an integer number (182809440).

Almost surely, 23412442040 is an apocalyptic number.

3412442040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3412442040 is an abundant number, since it is smaller than the sum of its proper divisors (8287362120).

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

3412442040 is a wasteful number, since it uses less digits than its factorization.

3412442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062452 (or 4062448 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3412442040 is about 58416.1111338302. Note that the first 4 decimals coincide. The cubic root of 3412442040 is about 1505.5265818106.

Adding to 3412442040 its reverse (402442143), we get a palindrome (3814884183).

The spelling of 3412442040 in words is "three billion, four hundred twelve million, four hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 4062431 8124862 12187293 16249724 20312155 24374586 28437017 32499448 40624310 48749172 56874034 60936465 81248620 85311051 97498344 113748068 121872930 142185085 162497240 170622102 227496136 243745860 284370170 341244204 426555255 487491720 568740340 682488408 853110510 1137480680 1706221020 3412442040