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340602053152 = 25371741165233
BaseRepresentation
bin1001111010011010111…
…01101110001000100000
31012120011010212000220111
410331031131232020200
521040023111200102
6420245340021104
733415302453214
oct4751535561040
91176133760814
10340602053152
111214a2a85829
1256016b31794
132617084842a
14126b166c944
158cd6e6bcd7
hex4f4d76e220

340602053152 has 48 divisors (see below), whose sum is σ = 689083281432. Its totient is φ = 165602119680.

The previous prime is 340602053117. The next prime is 340602053159. The reversal of 340602053152 is 251350206043.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 253125709456 + 87476343696 = 503116^2 + 295764^2 .

It is a super-2 number, since 2×3406020531522 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (340602053159) 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 7 ways as a sum of consecutive naturals, for example, 1978728 + ... + 2143960.

Almost surely, 2340602053152 is an apocalyptic number.

340602053152 is a gapful number since it is divisible by the number (32) 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 340602053152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344541640716).

340602053152 is an abundant number, since it is smaller than the sum of its proper divisors (348481228280).

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

340602053152 is a wasteful number, since it uses less digits than its factorization.

340602053152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167021 (or 167013 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 340602053152 its reverse (251350206043), we get a palindrome (591952259195).

The spelling of 340602053152 in words is "three hundred forty billion, six hundred two million, fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 1741 3482 6964 13928 27856 55712 64417 128834 165233 257668 330466 515336 660932 1030672 1321864 2061344 2643728 5287456 6113621 12227242 24454484 48908968 97817936 195635872 287670653 575341306 1150682612 2301365224 4602730448 9205460896 10643814161 21287628322 42575256644 85150513288 170301026576 340602053152