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34007238030 = 23541179154459
BaseRepresentation
bin11111101010111111…
…010100010110001110
310020210000121200112110
4133222333110112032
51024121323104110
623342301044450
72312505516363
oct375277242616
9106700550473
1034007238030
11134712212a7
126710b56726
13328c64c16c
14190872446a
15d4082da20
hex7eafd458e

34007238030 has 64 divisors (see below), whose sum is σ = 84075667200. Its totient is φ = 8797927680.

The previous prime is 34007238029. The next prime is 34007238037. The reversal of 34007238030 is 3083270043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34007238037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142941 + ... + 297399.

It is an arithmetic number, because the mean of its divisors is an integer number (1313682300).

Almost surely, 234007238030 is an apocalyptic number.

34007238030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34007238030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42037833600).

34007238030 is an abundant number, since it is smaller than the sum of its proper divisors (50068429170).

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

34007238030 is a wasteful number, since it uses less digits than its factorization.

34007238030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154689.

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 34007238030 in words is "thirty-four billion, seven million, two hundred thirty-eight thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 179 205 246 358 410 537 615 895 1074 1230 1790 2685 5370 7339 14678 22017 36695 44034 73390 110085 154459 220170 308918 463377 772295 926754 1544590 2316885 4633770 6332819 12665638 18998457 27648161 31664095 37996914 55296322 63328190 82944483 94992285 138240805 165888966 189984570 276481610 414722415 829444830 1133574601 2267149202 3400723803 5667873005 6801447606 11335746010 17003619015 34007238030