Search a number
-
+
3424358266032 = 2431131937223277
BaseRepresentation
bin110001110101001011101…
…010000111010010110000
3110010100212102012202202010
4301311023222013102300
5422101041204003112
611141043425522520
7502254535001004
oct61651352072260
913110772182663
103424358266032
111100297a71950
124737b67a3440
131babb9755cc2
14bba50114704
155e11e7eb63c
hex31d4ba874b0

3424358266032 has 160 divisors (see below), whose sum is σ = 9972445722624. Its totient is φ = 1003134412800.

The previous prime is 3424358266003. The next prime is 3424358266093. The reversal of 3424358266032 is 2306628534243.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15225178 + ... + 15448454.

Almost surely, 23424358266032 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 3424358266032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986222861312).

3424358266032 is an abundant number, since it is smaller than the sum of its proper divisors (6548087456592).

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

3424358266032 is a wasteful number, since it uses less digits than its factorization.

3424358266032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224267 (or 224261 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 48.

The spelling of 3424358266032 in words is "three trillion, four hundred twenty-four billion, three hundred fifty-eight million, two hundred sixty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 937 1023 1364 1488 1874 2046 2728 2811 3748 4092 5456 5622 7496 8184 10307 11244 14992 16368 20614 22488 29047 30921 41228 44976 58094 61842 82456 87141 116188 123684 164912 174282 223277 232376 247368 319517 348564 446554 464752 494736 639034 669831 697128 893108 958551 1278068 1339662 1394256 1786216 1917102 2456047 2556136 2679324 3572432 3834204 4912094 5112272 5358648 6921587 7368141 7668408 9824188 10717296 13843174 14736282 15336816 19648376 20764761 27686348 29472564 39296752 41529522 55372696 58945128 76137457 83059044 110745392 117890256 152274914 166118088 209210549 228412371 304549828 332236176 418421098 456824742 609099656 627631647 836842196 913649484 1218199312 1255263294 1673684392 1827298968 2301316039 2510526588 3347368784 3654597936 4602632078 5021053176 6485527019 6903948117 9205264156 10042106352 12971054038 13807896234 18410528312 19456581057 25942108076 27615792468 36821056624 38913162114 51884216152 55231584936 71340797209 77826324228 103768432304 110463169872 142681594418 155652648456 214022391627 285363188836 311305296912 428044783254 570726377672 856089566508 1141452755344 1712179133016 3424358266032