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34257736041340 = 2257303780572313
BaseRepresentation
bin1111100101000010000000…
…01100000000001101111100
311111022000012112012221020011
413302201000030000031330
513442234320411310330
6200505441531033004
710134016430532430
oct762410014001574
9144260175187204
1034257736041340
11aa08695997269
123a1346659b764
13161664bc4a906
148661246d49c0
153e61c7d0882a
hex1f284030037c

34257736041340 has 48 divisors (see below), whose sum is σ = 82245639817152. Its totient is φ = 11741641883136.

The previous prime is 34257736041311. The next prime is 34257736041383. The reversal of 34257736041340 is 4314063775243.

It is a happy number.

It is a super-2 number, since 2×342577360413402 (a number of 28 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39860977 + ... + 40711336.

It is an arithmetic number, because the mean of its divisors is an integer number (1713450829524).

Almost surely, 234257736041340 is an apocalyptic number.

It is an amenable number.

34257736041340 is an abundant number, since it is smaller than the sum of its proper divisors (47987903775812).

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

34257736041340 is a wasteful number, since it uses less digits than its factorization.

34257736041340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80575366 (or 80575364 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 49.

The spelling of 34257736041340 in words is "thirty-four trillion, two hundred fifty-seven billion, seven hundred thirty-six million, forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 3037 6074 12148 15185 21259 30370 42518 60740 85036 106295 212590 425180 80572313 161144626 322289252 402861565 564006191 805723130 1128012382 1611446260 2256024764 2820030955 5640061910 11280123820 244698114581 489396229162 978792458324 1223490572905 1712886802067 2446981145810 3425773604134 4893962291620 6851547208268 8564434010335 17128868020670 34257736041340