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342122664 = 233131957713
BaseRepresentation
bin10100011001000…
…110000010101000
3212211202122001210
4110121012002220
51200040411124
653540513120
711322665112
oct2431060250
9784678053
10342122664
11166134904
12966ab7a0
1355b58860
143361a3b2
152007ea29
hex146460a8

342122664 has 64 divisors (see below), whose sum is σ = 969595200. Its totient is φ = 99726336.

The previous prime is 342122647. The next prime is 342122681. The reversal of 342122664 is 466221243.

It is an interprime number because it is at equal distance from previous prime (342122647) and next prime (342122681).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22929 + ... + 34784.

It is an arithmetic number, because the mean of its divisors is an integer number (15149925).

Almost surely, 2342122664 is an apocalyptic number.

It is an amenable number.

342122664 is an abundant number, since it is smaller than the sum of its proper divisors (627472536).

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

342122664 is a wasteful number, since it uses less digits than its factorization.

342122664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57754 (or 57750 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 342122664 is about 18496.5581663184. The cubic root of 342122664 is about 699.4026632038.

The spelling of 342122664 in words is "three hundred forty-two million, one hundred twenty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2964 5928 57713 115426 173139 230852 346278 461704 692556 750269 1096547 1385112 1500538 2193094 2250807 3001076 3289641 4386188 4501614 6002152 6579282 8772376 9003228 13158564 14255111 18006456 26317128 28510222 42765333 57020444 85530666 114040888 171061332 342122664