Search a number
-
+
347642445072 = 24313242855331
BaseRepresentation
bin1010000111100010001…
…10101011110100010000
31020020022210120222222210
411003301012223310100
521143432431220242
6423412120032120
734054622012166
oct5036106536420
91206283528883
10347642445072
1112448610844a
1257460902640
1326a23324400
1412b7c701236
15909a0b3d9c
hex50f11abd10

347642445072 has 60 divisors (see below), whose sum is σ = 972473193744. Its totient is φ = 106966903680.

The previous prime is 347642445061. The next prime is 347642445103. The reversal of 347642445072 is 270544246743.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21419554 + ... + 21435777.

Almost surely, 2347642445072 is an apocalyptic number.

It is an amenable number.

347642445072 is an abundant number, since it is smaller than the sum of its proper divisors (624830748672).

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

347642445072 is a wasteful number, since it uses less digits than its factorization.

347642445072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42855368 (or 42855349 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 48.

The spelling of 347642445072 in words is "three hundred forty-seven billion, six hundred forty-two million, four hundred forty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2704 4056 8112 42855331 85710662 128565993 171421324 257131986 342842648 514263972 557119303 685685296 1028527944 1114238606 1671357909 2057055888 2228477212 3342715818 4456954424 6685431636 7242550939 8913908848 13370863272 14485101878 21727652817 26741726544 28970203756 43455305634 57940407512 86910611268 115880815024 173821222536 347642445072