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34324104402 = 2337293479647
BaseRepresentation
bin11111111101111000…
…000100010011010010
310021121002212011111000
4133331320010103102
51030243432320102
623433540402430
72323404034140
oct377570042322
9107532764430
1034324104402
1113614075735
12679b0a6416
1333101a3c63
141938848590
15d5d57001c
hex7fde044d2

34324104402 has 128 divisors (see below), whose sum is σ = 87787929600. Its totient is φ = 9737938368.

The previous prime is 34324104359. The next prime is 34324104407. The reversal of 34324104402 is 20440142343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34324104407) by changing a digit.

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, 53050843 + ... + 53051489.

It is an arithmetic number, because the mean of its divisors is an integer number (685843200).

Almost surely, 234324104402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34324104402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43893964800).

34324104402 is an abundant number, since it is smaller than the sum of its proper divisors (53463825198).

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

34324104402 is a wasteful number, since it uses less digits than its factorization.

34324104402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34324104402 its reverse (20440142343), we get a palindrome (54764246745).

The spelling of 34324104402 in words is "thirty-four billion, three hundred twenty-four million, one hundred four thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 293 378 479 586 647 879 958 1294 1437 1758 1941 2051 2637 2874 3353 3882 4102 4311 4529 5274 5823 6153 6706 7911 8622 9058 10059 11646 12306 12933 13587 15822 17469 18459 20118 25866 27174 30177 34938 36918 40761 55377 60354 81522 90531 110754 122283 140347 181062 189571 244566 280694 309913 379142 421041 568713 619826 842082 929739 982429 1137426 1263123 1326997 1706139 1859478 1964858 2169391 2526246 2653994 2789217 2947287 3412278 3789369 3980991 4338782 5118417 5578434 5894574 6508173 7578738 7961982 8367651 8841861 10236834 11942973 13016346 16735302 17683722 19524519 23885946 26525583 35828919 39049038 53051166 58573557 71657838 90804509 117147114 181609018 272413527 544827054 635631563 817240581 1271263126 1634481162 1906894689 2451721743 3813789378 4903443486 5720684067 11441368134 17162052201 34324104402