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3450060480 = 26356753639
BaseRepresentation
bin1100110110100011…
…1011111011000000
322220102220020020210
43031220323323000
524031203413410
61330202434120
7151332013236
oct31550737300
98812806223
103450060480
111510518559
12803502940
1342ca02909
1424a2bc956
15152d45220
hexcda3bec0

3450060480 has 112 divisors (see below), whose sum is σ = 11117640960. Its totient is φ = 906267648.

The previous prime is 3450060457. The next prime is 3450060491. The reversal of 3450060480 is 840600543.

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

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 15 ways as a sum of consecutive naturals, for example, 37501 + ... + 91139.

Almost surely, 23450060480 is an apocalyptic number.

3450060480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3450060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5558820480).

3450060480 is an abundant number, since it is smaller than the sum of its proper divisors (7667580480).

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

3450060480 is a wasteful number, since it uses less digits than its factorization.

3450060480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53726 (or 53716 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3450060480 is about 58737.2154600471. The cubic root of 3450060480 is about 1511.0386374956.

The spelling of 3450060480 in words is "three billion, four hundred fifty million, sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 134 160 192 201 240 268 320 335 402 480 536 670 804 960 1005 1072 1340 1608 2010 2144 2680 3216 4020 4288 5360 6432 8040 10720 12864 16080 21440 32160 53639 64320 107278 160917 214556 268195 321834 429112 536390 643668 804585 858224 1072780 1287336 1609170 1716448 2145560 2574672 3218340 3432896 3593813 4291120 5149344 6436680 7187626 8582240 10298688 10781439 12873360 14375252 17164480 17969065 21562878 25746720 28750504 35938130 43125756 51493440 53907195 57501008 71876260 86251512 107814390 115002016 143752520 172503024 215628780 230004032 287505040 345006048 431257560 575010080 690012096 862515120 1150020160 1725030240 3450060480