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340028148704 = 2529973777419
BaseRepresentation
bin1001111001010110100…
…00011100101111100000
31012111200010221200000012
410330223100130233200
521032334201224304
6420112355144052
733365133401336
oct4745320345740
91174603850005
10340028148704
11121229030932
1255a968a5028
13260ab9885ba
1412659359b56
158ca18a616e
hex4f2b41cbe0

340028148704 has 48 divisors (see below), whose sum is σ = 699653732400. Its totient is φ = 162459193344.

The previous prime is 340028148683. The next prime is 340028148739. The reversal of 340028148704 is 407841820043.

It is a happy number.

It is a super-2 number, since 2×3400281487042 (a number of 24 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1798694 + ... + 1978725.

It is an arithmetic number, because the mean of its divisors is an integer number (14576119425).

Almost surely, 2340028148704 is an apocalyptic number.

It is an amenable number.

340028148704 is an abundant number, since it is smaller than the sum of its proper divisors (359625583696).

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

340028148704 is a wasteful number, since it uses less digits than its factorization.

340028148704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777555 (or 3777547 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

Adding to 340028148704 its reverse (407841820043), we get a palindrome (747869968747).

The spelling of 340028148704 in words is "three hundred forty billion, twenty-eight million, one hundred forty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 29 32 58 97 116 194 232 388 464 776 928 1552 2813 3104 5626 11252 22504 45008 90016 3777419 7554838 15109676 30219352 60438704 109545151 120877408 219090302 366409643 438180604 732819286 876361208 1465638572 1752722416 2931277144 3505444832 5862554288 10625879647 11725108576 21251759294 42503518588 85007037176 170014074352 340028148704