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340452305440 = 25513283578371
BaseRepresentation
bin1001111010001001000…
…10011110101000100000
31012112202201002001122221
410331010202132220200
521034221242233230
6420222430240424
733411503564032
oct4750442365040
91175681061587
10340452305440
111214264a6095
1255b94956114
1326148807310
141269980bc52
158cc8c3c27a
hex4f4489ea20

340452305440 has 96 divisors (see below), whose sum is σ = 869251473216. Its totient is φ = 125261061120.

The previous prime is 340452305399. The next prime is 340452305441. The reversal of 340452305440 is 44503254043.

It is a super-2 number, since 2×3404523054402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 340452305396 and 340452305405.

It is not an unprimeable number, because it can be changed into a prime (340452305441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299455 + ... + 877825.

It is an arithmetic number, because the mean of its divisors is an integer number (9054702846).

Almost surely, 2340452305440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340452305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434625736608).

340452305440 is an abundant number, since it is smaller than the sum of its proper divisors (528799167776).

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

340452305440 is a wasteful number, since it uses less digits than its factorization.

340452305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578682 (or 578674 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 34.

Adding to 340452305440 its reverse (44503254043), we get a palindrome (384955559483).

The spelling of 340452305440 in words is "three hundred forty billion, four hundred fifty-two million, three hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 283 416 520 566 1040 1132 1415 2080 2264 2830 3679 4528 5660 7358 9056 11320 14716 18395 22640 29432 36790 45280 58864 73580 117728 147160 294320 578371 588640 1156742 2313484 2891855 4626968 5783710 7518823 9253936 11567420 15037646 18507872 23134840 30075292 37594115 46269680 60150584 75188230 92539360 120301168 150376460 163678993 240602336 300752920 327357986 601505840 654715972 818394965 1203011680 1309431944 1636789930 2127826909 2618863888 3273579860 4255653818 5237727776 6547159720 8511307636 10639134545 13094319440 17022615272 21278269090 26188638880 34045230544 42556538180 68090461088 85113076360 170226152720 340452305440