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1349049240 = 23325711411187
BaseRepresentation
bin101000001101000…
…1101101110011000
310111000110210122200
41100122031232120
510230324033430
6341510450200
745300505110
oct12032155630
93430423580
101349049240
11632559730
12317963960
1318664c6b6
14cb24c040
157d67d460
hex5068db98

1349049240 has 384 divisors, whose sum is σ = 5604318720. Its totient is φ = 273254400.

The previous prime is 1349049239. The next prime is 1349049253. The reversal of 1349049240 is 429409431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1349049195 and 1349049204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1135927 + ... + 1137113.

It is an arithmetic number, because the mean of its divisors is an integer number (14594580).

Almost surely, 21349049240 is an apocalyptic number.

1349049240 is a gapful number since it is divisible by the number (10) 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 1349049240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802159360).

1349049240 is an abundant number, since it is smaller than the sum of its proper divisors (4255269480).

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

1349049240 is a wasteful number, since it uses less digits than its factorization.

1349049240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1349049240 is about 36729.4056581372. The cubic root of 1349049240 is about 1104.9499346016.

The spelling of 1349049240 in words is "one billion, three hundred forty-nine million, forty-nine thousand, two hundred forty".