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342516672 = 26324313829
BaseRepresentation
bin10100011010100…
…110001111000000
3212212111122112200
4110122212033000
51200141013142
653553153200
711326225611
oct2432461700
9785448480
10342516672
11166383933
129685b800
1355c65cb4
14336bdc08
152010b64c
hex146a63c0

342516672 has 84 divisors (see below), whose sum is σ = 1004666520. Its totient is φ = 111508992.

The previous prime is 342516649. The next prime is 342516677. The reversal of 342516672 is 276615243.

342516672 is a `hidden beast` number, since 3 + 425 + 166 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342516677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17854 + ... + 31682.

Almost surely, 2342516672 is an apocalyptic number.

342516672 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 342516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502333260).

342516672 is an abundant number, since it is smaller than the sum of its proper divisors (662149848).

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

342516672 is a wasteful number, since it uses less digits than its factorization.

342516672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13890 (or 13877 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 342516672 is about 18507.2059479544. The cubic root of 342516672 is about 699.6710508842.

The spelling of 342516672 in words is "three hundred forty-two million, five hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 129 144 172 192 258 288 344 387 516 576 688 774 1032 1376 1548 2064 2752 3096 4128 6192 8256 12384 13829 24768 27658 41487 55316 82974 110632 124461 165948 221264 248922 331896 442528 497844 594647 663792 885056 995688 1189294 1327584 1783941 1991376 2378588 2655168 3567882 3982752 4757176 5351823 7135764 7965504 9514352 10703646 14271528 19028704 21407292 28543056 38057408 42814584 57086112 85629168 114172224 171258336 342516672