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34100002240 = 265192295187
BaseRepresentation
bin11111110000100001…
…001011110111000000
310021000111011121002221
4133300201023313000
51024314100032430
623355413220424
72315013144103
oct376041136700
9107014147087
1034100002240
1113509620437
126738031714
1332a592b325
141916b9073a
15d48a5457a
hex7f084bdc0

34100002240 has 84 divisors (see below), whose sum is σ = 85699570536. Its totient is φ = 12922062336.

The previous prime is 34100002231. The next prime is 34100002243. The reversal of 34100002240 is 4220000143.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34100002243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32074 + ... + 263113.

Almost surely, 234100002240 is an apocalyptic number.

It is an amenable number.

34100002240 is an abundant number, since it is smaller than the sum of its proper divisors (51599568296).

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

34100002240 is a wasteful number, since it uses less digits than its factorization.

34100002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295242 (or 295213 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 34100002240 its reverse (4220000143), we get a palindrome (38320002383).

The spelling of 34100002240 in words is "thirty-four billion, one hundred million, two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 361 380 608 722 760 1216 1444 1520 1805 2888 3040 3610 5776 6080 7220 11552 14440 23104 28880 57760 115520 295187 590374 1180748 1475935 2361496 2951870 4722992 5608553 5903740 9445984 11217106 11807480 18891968 22434212 23614960 28042765 44868424 47229920 56085530 89736848 94459840 106562507 112171060 179473696 213125014 224342120 358947392 426250028 448684240 532812535 852500056 897368480 1065625070 1705000112 1794736960 2131250140 3410000224 4262500280 6820000448 8525000560 17050001120 34100002240