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1346668416 = 2734129887
BaseRepresentation
bin101000001000100…
…1000011110000000
310110211222211210000
41100101020132000
510224221342131
6341343440000
745241330662
oct12021103600
93424884700
101346668416
11631182a05
12316bb6000
13185cc7b22
14cabcc532
157d35cce6
hex50448780

1346668416 has 80 divisors (see below), whose sum is σ = 4007694240. Its totient is φ = 448886016.

The previous prime is 1346668397. The next prime is 1346668429. The reversal of 1346668416 is 6148666431.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 54576 + ... + 75311.

It is an arithmetic number, because the mean of its divisors is an integer number (50096178).

Almost surely, 21346668416 is an apocalyptic number.

1346668416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1346668416 is an abundant number, since it is smaller than the sum of its proper divisors (2661025824).

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

1346668416 is an equidigital number, since it uses as much as digits as its factorization.

1346668416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129913 (or 129892 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 1346668416 is about 36696.9810202420. The cubic root of 1346668416 is about 1104.2995406485.

The spelling of 1346668416 in words is "one billion, three hundred forty-six million, six hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 129887 259774 389661 519548 779322 1039096 1168983 1558644 2078192 2337966 3117288 3506949 4156384 4675932 6234576 7013898 8312768 9351864 10520847 12469152 14027796 16625536 18703728 21041694 24938304 28055592 37407456 42083388 49876608 56111184 74814912 84166776 112222368 149629824 168333552 224444736 336667104 448889472 673334208 1346668416