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3403312032344 = 2371786319332143
BaseRepresentation
bin110001100001100101001…
…101000110101001011000
3110001100112200000022200112
4301201211031012221120
5421224440340013334
611123243204023452
7500611146653060
oct61414515065130
913040480008615
103403312032344
1110a2377a10a94
1246b702391b88
131b8c143a41a3
14baa14cc83a0
155d7dbcba4ce
hex31865346a58

3403312032344 has 128 divisors (see below), whose sum is σ = 7738356695040. Its totient is φ = 1369824970752.

The previous prime is 3403312032319. The next prime is 3403312032413. The reversal of 3403312032344 is 4432302133043.

It is a self number, because there is not a number n which added to its sum of digits gives 3403312032344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1588105337 + ... + 1588107479.

It is an arithmetic number, because the mean of its divisors is an integer number (60455911680).

Almost surely, 23403312032344 is an apocalyptic number.

3403312032344 is a gapful number since it is divisible by the number (34) 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 3403312032344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869178347520).

3403312032344 is an abundant number, since it is smaller than the sum of its proper divisors (4335044662696).

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

3403312032344 is a wasteful number, since it uses less digits than its factorization.

3403312032344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4969 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 3403312032344 its reverse (4432302133043), we get a palindrome (7835614165387).

The spelling of 3403312032344 in words is "three trillion, four hundred three billion, three hundred twelve million, thirty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 863 952 1726 1933 2143 3452 3866 4286 6041 6904 7732 8572 12082 13531 14671 15001 15464 17144 24164 27062 29342 30002 32861 36431 48328 54124 58684 60004 65722 72862 102697 108248 117368 120008 131444 145724 205394 230027 255017 262888 291448 410788 460054 510034 821576 920108 1020068 1668179 1840216 1849409 2040136 3336358 3698818 4142419 6672716 7397636 8284838 11677253 12945863 13345432 14795272 16569676 23354506 25891726 28359043 28996933 31439953 33139352 46709012 51783452 56718086 57993866 62879906 70421123 93418024 103566904 113436172 115987732 125759812 140842246 198513301 220079671 226872344 231975464 251519624 281684492 397026602 440159342 492947861 563368984 794053204 880318684 985895722 1588106408 1760637368 1971791444 3574907597 3943582888 7149815194 14299630388 25024353179 28599260776 50048706358 60773429149 100097412716 121546858298 200194825432 243093716596 425414004043 486187433192 850828008086 1701656016172 3403312032344