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34338245922 = 2362322112
BaseRepresentation
bin11111111110101110…
…000000110100100010
310021122002110122000000
4133332232000310202
51030311042332142
623435203440430
72323635163101
oct377656006442
9107562418000
1034338245922
1113621054442
1267a3986116
1333130b5916
14193a68a038
15d5e91514c
hex7feb80d22

34338245922 has 126 divisors (see below), whose sum is σ = 81113767371. Its totient is φ = 10896537960.

The previous prime is 34338245897. The next prime is 34338245969. The reversal of 34338245922 is 22954283343.

34338245922 is a `hidden beast` number, since 3 + 4 + 3 + 38 + 24 + 592 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17169122961 + 17169122961 = 131031^2 + 131031^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=131031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 162740397 + ... + 162740607.

Almost surely, 234338245922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34338245922

34338245922 is an abundant number, since it is smaller than the sum of its proper divisors (46775521449).

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

34338245922 is an frugal number, since it uses more digits than its factorization.

34338245922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 239 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 34338245922 in words is "thirty-four billion, three hundred thirty-eight million, two hundred forty-five thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 211 243 414 422 486 529 621 633 729 1058 1242 1266 1458 1587 1863 1899 3174 3726 3798 4761 4853 5589 5697 9522 9706 11178 11394 14283 14559 16767 17091 28566 29118 33534 34182 42849 43677 44521 51273 85698 87354 89042 102546 111619 128547 131031 133563 153819 223238 257094 262062 267126 307638 334857 385641 393093 400689 669714 771282 786186 801378 1004571 1023983 1179279 1202067 2009142 2047966 2358558 2404134 3013713 3071949 3537837 3606201 6027426 6143898 7075674 7212402 9041139 9215847 10818603 18082278 18431694 21637206 23551609 27123417 27647541 32455809 47103218 54246834 55295082 64911618 70654827 81370251 82942623 141309654 162740502 165885246 211964481 248827869 423928962 497655738 635893443 746483607 1271786886 1492967214 1907680329 3815360658 5723040987 11446081974 17169122961 34338245922