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3412426968 = 233424121851
BaseRepresentation
bin1100101101100101…
…1000000011011000
322210211002020210000
43023121120003120
523442040130333
61322340053000
7150364102446
oct31331300330
98724066700
103412426968
1114a1253985
127b2994160
13424c87272
142452c3b96
1514e8ae713
hexcb6580d8

3412426968 has 80 divisors (see below), whose sum is σ = 9598053960. Its totient is φ = 1132704000.

The previous prime is 3412426939. The next prime is 3412427003. The reversal of 3412426968 is 8696242143.

3412426968 is a `hidden beast` number, since 341 + 242 + 6 + 9 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 145243 + ... + 167093.

Almost surely, 23412426968 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 3412426968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799026980).

3412426968 is an abundant number, since it is smaller than the sum of its proper divisors (6185626992).

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

3412426968 is a wasteful number, since it uses less digits than its factorization.

3412426968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22110 (or 22097 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 3412426968 is about 58415.9821281813. The cubic root of 3412426968 is about 1505.5243652816.

The spelling of 3412426968 in words is "three billion, four hundred twelve million, four hundred twenty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 241 324 482 648 723 964 1446 1928 2169 2892 4338 5784 6507 8676 13014 17352 19521 21851 26028 39042 43702 52056 65553 78084 87404 131106 156168 174808 196659 262212 393318 524424 589977 786636 1179954 1573272 1769931 2359908 3539862 4719816 5266091 7079724 10532182 14159448 15798273 21064364 31596546 42128728 47394819 63193092 94789638 126386184 142184457 189579276 284368914 379158552 426553371 568737828 853106742 1137475656 1706213484 3412426968