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34387305354 = 23413910511453
BaseRepresentation
bin100000000001101001…
…001010001110001010
310021202111210002220000
4200001221022032022
51030411122232404
623444115143430
72325102162363
oct400151121612
9107674702800
1034387305354
1113646812526
1267b82a4b76
133320301b7c
141942dbab6a
15d63da6339
hex801a4a38a

34387305354 has 80 divisors (see below), whose sum is σ = 77734678560. Its totient is φ = 11361319200.

The previous prime is 34387305319. The next prime is 34387305377. The reversal of 34387305354 is 45350378343.

34387305354 is a `hidden beast` number, since 3 + 4 + 3 + 87 + 30 + 535 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23665692 + ... + 23667144.

It is an arithmetic number, because the mean of its divisors is an integer number (971683482).

Almost surely, 234387305354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34387305354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38867339280).

34387305354 is an abundant number, since it is smaller than the sum of its proper divisors (43347373206).

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

34387305354 is a wasteful number, since it uses less digits than its factorization.

34387305354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 34387305354 in words is "thirty-four billion, three hundred eighty-seven million, three hundred five thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 81 139 162 278 417 834 1051 1251 1453 2102 2502 2906 3153 3753 4359 6306 7506 8718 9459 11259 13077 18918 22518 26154 28377 39231 56754 78462 85131 117693 146089 170262 201967 235386 292178 403934 438267 605901 876534 1211802 1314801 1527103 1817703 2629602 3054206 3635406 3944403 4581309 5453109 7888806 9162618 10906218 11833209 13743927 16359327 23666418 27487854 32718654 41231781 82463562 123695343 212267317 247390686 424534634 636801951 1273603902 1910405853 3820811706 5731217559 11462435118 17193652677 34387305354