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3400005472 = 252911332423
BaseRepresentation
bin1100101010100111…
…1111011101100000
322202221201011200121
43022221333131200
523430400133342
61321213530024
7150153366253
oct31251773540
98687634617
103400005472
11149523a486
127aa7a3914
13422528476
142437ad09a
1514d759067
hexcaa7f760

3400005472 has 48 divisors (see below), whose sum is σ = 6986075040. Its totient is φ = 1626806272.

The previous prime is 3400005451. The next prime is 3400005481. The reversal of 3400005472 is 2745000043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88653 + ... + 121075.

It is an arithmetic number, because the mean of its divisors is an integer number (145543230).

Almost surely, 23400005472 is an apocalyptic number.

3400005472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400005472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493037520).

3400005472 is an abundant number, since it is smaller than the sum of its proper divisors (3586069568).

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

3400005472 is a wasteful number, since it uses less digits than its factorization.

3400005472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32575 (or 32567 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 3400005472 is about 58309.5658704470. The cubic root of 3400005472 is about 1503.6954028925.

The spelling of 3400005472 in words is "three billion, four hundred million, five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 58 113 116 226 232 452 464 904 928 1808 3277 3616 6554 13108 26216 32423 52432 64846 104864 129692 259384 518768 940267 1037536 1880534 3663799 3761068 7327598 7522136 14655196 15044272 29310392 30088544 58620784 106250171 117241568 212500342 425000684 850001368 1700002736 3400005472