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342297379740160 = 29513317324118859
BaseRepresentation
bin100110111010100010101000…
…1101110100001101000000000
31122212222022100221011111010001
41031311011101232201220000
5324331200013203141120
63212001125001245344
7132046112111242645
oct11565052156415000
91585868327144101
10342297379740160
119a08055a209679
1232483637a93854
13118cc673247b20
1460753d2909dcc
152988e18b83e0a
hex1375151ba1a00

342297379740160 has 640 divisors, whose sum is σ = 928738976901120. Its totient is φ = 120127330713600.

The previous prime is 342297379740109. The next prime is 342297379740181. The reversal of 342297379740160 is 61047973792243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 342297379740092 and 342297379740101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18150336811 + ... + 18150355669.

It is an arithmetic number, because the mean of its divisors is an integer number (1451154651408).

Almost surely, 2342297379740160 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 342297379740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464369488450560).

342297379740160 is an abundant number, since it is smaller than the sum of its proper divisors (586441597160960).

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

342297379740160 is a wasteful number, since it uses less digits than its factorization.

342297379740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19240 (or 19224 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 64.

The spelling of 342297379740160 in words is "three hundred forty-two trillion, two hundred ninety-seven billion, three hundred seventy-nine million, seven hundred forty thousand, one hundred sixty".