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34438464324 = 2232113113720477
BaseRepresentation
bin100000000100101100…
…010100001101000100
310021220002001020210200
4200010230110031010
51031012221324244
623453143450500
72326263055035
oct400454241504
9107802036720
1034438464324
1113672684a70
126811456a30
13332aaa4954
141949ad6a8c
15d6860e669
hex804b14344

34438464324 has 144 divisors (see below), whose sum is σ = 98750486016. Its totient is φ = 10025049600.

The previous prime is 34438464299. The next prime is 34438464343. The reversal of 34438464324 is 42346483443.

It is a self number, because there is not a number n which added to its sum of digits gives 34438464324.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1671574 + ... + 1692050.

It is an arithmetic number, because the mean of its divisors is an integer number (685767264).

Almost surely, 234438464324 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 34438464324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49375243008).

34438464324 is an abundant number, since it is smaller than the sum of its proper divisors (64312021692).

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

34438464324 is a wasteful number, since it uses less digits than its factorization.

34438464324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20666 (or 20661 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 45.

The spelling of 34438464324 in words is "thirty-four billion, four hundred thirty-eight million, four hundred sixty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 137 186 198 274 279 341 372 396 411 548 558 682 822 1023 1116 1233 1364 1507 1644 2046 2466 3014 3069 4092 4247 4521 4932 6028 6138 8494 9042 12276 12741 13563 16988 18084 20477 25482 27126 38223 40954 46717 50964 54252 61431 76446 81908 93434 122862 140151 152892 184293 186868 225247 245724 280302 368586 420453 450494 560604 634787 675741 737172 840906 900988 1269574 1351482 1681812 1904361 2027223 2539148 2702964 2805349 3808722 4054446 5610698 5713083 6982657 7617444 8108892 8416047 11221396 11426166 13965314 16832094 20947971 22852332 25248141 27930628 30858839 33664188 41895942 50496282 61717678 62843913 83791884 86965819 92576517 100992564 123435356 125687826 173931638 185153034 251375652 260897457 277729551 347863276 370306068 521794914 555459102 782692371 956624009 1043589828 1110918204 1565384742 1913248018 2869872027 3130769484 3826496036 5739744054 8609616081 11479488108 17219232162 34438464324