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34463267420 = 22519377433299
BaseRepresentation
bin100000000110001010…
…111011101001011100
310021221210201101020212
4200012022323221130
51031040044024140
623455431231552
72330013640211
oct400612735134
9107853641225
1034463267420
111368568599a
1268198185b8
133332c7a33a
14194d111b08
15d6a8ad765
hex8062bba5c

34463267420 has 96 divisors (see below), whose sum is σ = 78369984000. Its totient is φ = 12685849344.

The previous prime is 34463267411. The next prime is 34463267429. The reversal of 34463267420 is 2476236443.

It is an interprime number because it is at equal distance from previous prime (34463267411) and next prime (34463267429).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34463267429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10444931 + ... + 10448229.

It is an arithmetic number, because the mean of its divisors is an integer number (816354000).

Almost surely, 234463267420 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 34463267420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39184992000).

34463267420 is an abundant number, since it is smaller than the sum of its proper divisors (43906716580).

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

34463267420 is a wasteful number, since it uses less digits than its factorization.

34463267420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4107 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 41.

The spelling of 34463267420 in words is "thirty-four billion, four hundred sixty-three million, two hundred sixty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 185 190 370 380 703 740 743 1406 1486 2812 2972 3299 3515 3715 6598 7030 7430 13196 14060 14117 14860 16495 27491 28234 32990 54982 56468 62681 65980 70585 109964 122063 125362 137455 141170 244126 250724 274910 282340 313405 488252 522329 549820 610315 626810 1044658 1220630 1253620 2089316 2319197 2441260 2451157 2611645 4638394 4902314 5223290 9276788 9804628 10446580 11595985 12255785 23191970 24511570 46383940 46571983 49023140 90692809 93143966 181385618 186287932 232859915 362771236 453464045 465719830 906928090 931439660 1723163371 1813856180 3446326742 6892653484 8615816855 17231633710 34463267420