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345694793496 = 2331383127257409
BaseRepresentation
bin1010000011111010000…
…00111110111100011000
31020001022001202001022020
411001331000332330120
521130440331342441
6422450543054440
733655432155543
oct5017500767430
91201261661266
10345694793496
11123676775a48
1256bb85a1420
13267a2978360
1412a35b9185a
158ed40e1e66
hex507d03ef18

345694793496 has 256 divisors, whose sum is σ = 955371110400. Its totient is φ = 103599046656.

The previous prime is 345694793459. The next prime is 345694793513. The reversal of 345694793496 is 694397496543.

It is a self number, because there is not a number n which added to its sum of digits gives 345694793496.

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 63 ways as a sum of consecutive naturals, for example, 845219340 + ... + 845219748.

It is an arithmetic number, because the mean of its divisors is an integer number (3731918400).

Almost surely, 2345694793496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345694793496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477685555200).

345694793496 is an abundant number, since it is smaller than the sum of its proper divisors (609676316904).

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

345694793496 is a wasteful number, since it uses less digits than its factorization.

345694793496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 894 counting only the distinct ones).

The product of its digits is 529079040, while the sum is 69.

The spelling of 345694793496 in words is "three hundred forty-five billion, six hundred ninety-four million, seven hundred ninety-three thousand, four hundred ninety-six".