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3401304320 = 28514871787
BaseRepresentation
bin1100101010111011…
…1100100100000000
322210001011011101002
43022232330210000
523431213214240
61321301431132
7150200416061
oct31256744400
98701134332
103401304320
111495a47307
127ab10b4a8
1342289170b
14243a2a568
1514d913d15
hexcabbc900

3401304320 has 72 divisors (see below), whose sum is σ = 8157227904. Its totient is φ = 1358845952.

The previous prime is 3401304317. The next prime is 3401304341. The reversal of 3401304320 is 234031043.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3401304292 and 3401304301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1902467 + ... + 1904253.

It is an arithmetic number, because the mean of its divisors is an integer number (113294832).

Almost surely, 23401304320 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 3401304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078613952).

3401304320 is an abundant number, since it is smaller than the sum of its proper divisors (4755923584).

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

3401304320 is a wasteful number, since it uses less digits than its factorization.

3401304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3401304320 is about 58320.7023277326. The cubic root of 3401304320 is about 1503.8868558313.

Adding to 3401304320 its reverse (234031043), we get a palindrome (3635335363).

The spelling of 3401304320 in words is "three billion, four hundred one million, three hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1487 1787 2974 3574 5948 7148 7435 8935 11896 14296 14870 17870 23792 28592 29740 35740 47584 57184 59480 71480 95168 114368 118960 142960 190336 228736 237920 285920 380672 457472 475840 571840 951680 1143680 1903360 2287360 2657269 5314538 10629076 13286345 21258152 26572690 42516304 53145380 85032608 106290760 170065216 212581520 340130432 425163040 680260864 850326080 1700652160 3401304320