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34403445516 = 223112178713259
BaseRepresentation
bin100000000010100110…
…101110101100001100
310021210122011010000210
4200002212232230030
51030424240224031
623445453122420
72325356314266
oct400246565414
9107718133023
1034403445516
1113654936900
126801789410
13332376346b
1419451bcb36
15d654e3746
hex8029aeb0c

34403445516 has 72 divisors (see below), whose sum is σ = 88291869120. Its totient is φ = 10418666720.

The previous prime is 34403445499. The next prime is 34403445533. The reversal of 34403445516 is 61554430443.

It is an interprime number because it is at equal distance from previous prime (34403445499) and next prime (34403445533).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2588095 + ... + 2601353.

It is an arithmetic number, because the mean of its divisors is an integer number (1226275960).

Almost surely, 234403445516 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 34403445516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44145934560).

34403445516 is an abundant number, since it is smaller than the sum of its proper divisors (53888423604).

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

34403445516 is a wasteful number, since it uses less digits than its factorization.

34403445516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15075 (or 15062 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 34403445516 its reverse (61554430443), we get a palindrome (95957875959).

The spelling of 34403445516 in words is "thirty-four billion, four hundred three million, four hundred forty-five thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 1787 3574 5361 7148 10722 13259 19657 21444 26518 39314 39777 53036 58971 78628 79554 117942 145849 159108 216227 235884 291698 432454 437547 583396 648681 864908 875094 1297362 1604339 1750188 2594724 3208678 4813017 6417356 9626034 19252068 23693833 47387666 71081499 94775332 142162998 260632163 284325996 521264326 781896489 1042528652 1563792978 2866953793 3127585956 5733907586 8600861379 11467815172 17201722758 34403445516