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1354086344 = 231359733023
BaseRepresentation
bin101000010110101…
…1011011111001000
310111100221201021002
41100231123133020
510233121230334
6342210434132
745361354412
oct12055333710
93440851232
101354086344
1163538a126
12319592948
131876c4330
14cbb9d9b2
157dd25b7e
hex50b5b7c8

1354086344 has 64 divisors (see below), whose sum is σ = 2819577600. Its totient is φ = 605753856.

The previous prime is 1354086323. The next prime is 1354086353. The reversal of 1354086344 is 4436804531.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1354086298 and 1354086307.

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, 446417 + ... + 449439.

It is an arithmetic number, because the mean of its divisors is an integer number (44055900).

Almost surely, 21354086344 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 1354086344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409788800).

1354086344 is an abundant number, since it is smaller than the sum of its proper divisors (1465491256).

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

1354086344 is a wasteful number, since it uses less digits than its factorization.

1354086344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 1354086344 is about 36797.9122233857. The cubic root of 1354086344 is about 1106.3234537542.

The spelling of 1354086344 in words is "one billion, three hundred fifty-four million, eighty-six thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 59 73 104 118 146 236 292 472 584 767 949 1534 1898 3023 3068 3796 4307 6046 6136 7592 8614 12092 17228 24184 34456 39299 55991 78598 111982 157196 178357 220679 223964 314392 356714 441358 447928 713428 882716 1426856 1765432 2318641 2868827 4637282 5737654 9274564 11475308 13020061 18549128 22950616 26040122 52080244 104160488 169260793 338521586 677043172 1354086344