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3410020320 = 253571014887
BaseRepresentation
bin1100101101000000…
…1100011111100000
322210122112222110220
43023100030133200
523440431122240
61322212323040
7150334460130
oct31320143740
98718488426
103410020320
11149a95a813
127b2013480
13424623a05
14244c58ac0
1514e5865d0
hexcb40c7e0

3410020320 has 96 divisors (see below), whose sum is σ = 12276085248. Its totient is φ = 779432448.

The previous prime is 3410020297. The next prime is 3410020337. The reversal of 3410020320 is 230200143.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3410020320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504084 + ... + 510803.

It is an arithmetic number, because the mean of its divisors is an integer number (127875888).

Almost surely, 23410020320 is an apocalyptic number.

3410020320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3410020320 is an abundant number, since it is smaller than the sum of its proper divisors (8866064928).

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

3410020320 is a wasteful number, since it uses less digits than its factorization.

3410020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014912 (or 1014904 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3410020320 is about 58395.3792692538. The cubic root of 3410020320 is about 1505.1703533763.

Adding to 3410020320 its reverse (230200143), we get a palindrome (3640220463).

The spelling of 3410020320 in words is "three billion, four hundred ten million, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 1014887 2029774 3044661 4059548 5074435 6089322 7104209 8119096 10148870 12178644 14208418 15223305 16238192 20297740 21312627 24357288 28416836 30446610 32476384 35521045 40595480 42625254 48714576 56833672 60893220 71042090 81190960 85250508 97429152 106563135 113667344 121786440 142084180 162381920 170501016 213126270 227334688 243572880 284168360 341002032 426252540 487145760 568336720 682004064 852505080 1136673440 1705010160 3410020320