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34265442060 = 223257197131211
BaseRepresentation
bin11111111010011000…
…010010011100001100
310021110000110210212200
4133322120102130030
51030133423121220
623424043201500
72322062310663
oct377230223414
9107400423780
1034265442060
1113593a48863
126783516290
133300ca4b05
141930b37dda
15d58333890
hex7fa61270c

34265442060 has 288 divisors, whose sum is σ = 107810486784. Its totient is φ = 8805888000.

The previous prime is 34265442053. The next prime is 34265442077. The reversal of 34265442060 is 6024456243.

34265442060 is a `hidden beast` number, since 34 + 2 + 6 + 544 + 20 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162395355 + ... + 162395565.

It is an arithmetic number, because the mean of its divisors is an integer number (374341968).

Almost surely, 234265442060 is an apocalyptic number.

34265442060 is a gapful number since it is divisible by the number (30) 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 34265442060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53905243392).

34265442060 is an abundant number, since it is smaller than the sum of its proper divisors (73545044724).

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

34265442060 is a wasteful number, since it uses less digits than its factorization.

34265442060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 34265442060 in words is "thirty-four billion, two hundred sixty-five million, four hundred forty-two thousand, sixty".