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3444026430 = 23513171134597
BaseRepresentation
bin1100110101000111…
…1010110000111110
322220000112200002110
43031101322300332
524023132321210
61325425234450
7151226512245
oct31521726076
98800480073
103444026430
111508077039
12801492a26
1342b69c280
1424958b95c
15152552420
hexcd47ac3e

3444026430 has 128 divisors (see below), whose sum is σ = 9510576768. Its totient is φ = 790659072.

The previous prime is 3444026429. The next prime is 3444026461. The reversal of 3444026430 is 346204443.

It is a super-2 number, since 2×34440264302 = 23722636101077089800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 746892 + ... + 751488.

It is an arithmetic number, because the mean of its divisors is an integer number (74301381).

Almost surely, 23444026430 is an apocalyptic number.

3444026430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444026430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755288384).

3444026430 is an abundant number, since it is smaller than the sum of its proper divisors (6066550338).

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

3444026430 is a wasteful number, since it uses less digits than its factorization.

3444026430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4750.

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 3444026430 is about 58685.8281870504. The cubic root of 3444026430 is about 1510.1572033459.

The spelling of 3444026430 in words is "three billion, four hundred forty-four million, twenty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 113 130 170 195 221 226 255 339 390 442 510 565 663 678 1105 1130 1326 1469 1695 1921 2210 2938 3315 3390 3842 4407 4597 5763 6630 7345 8814 9194 9605 11526 13791 14690 19210 22035 22985 24973 27582 28815 44070 45970 49946 57630 59761 68955 74919 78149 119522 124865 137910 149838 156298 179283 234447 249730 298805 358566 374595 390745 468894 519461 597610 749190 781490 896415 1015937 1038922 1172235 1558383 1792830 2031874 2344470 2597305 3047811 3116766 5079685 5194610 6095622 6752993 7791915 8830837 10159370 13505986 15239055 15583830 17661674 20258979 26492511 30478110 33764965 40517958 44154185 52985022 67529930 88308370 101294895 114800881 132462555 202589790 229601762 264925110 344402643 574004405 688805286 1148008810 1722013215 3444026430