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354120340 = 225737137499
BaseRepresentation
bin10101000110110…
…111001010010100
3220200100011210011
4111012313022110
51211123322330
655050010004
711526654550
oct2506671224
9820304704
10354120340
11171989942
129a716904
1358499782
1435060860
152114e82a
hex151b7294

354120340 has 96 divisors (see below), whose sum is σ = 880992000. Its totient is φ = 117033984.

The previous prime is 354120337. The next prime is 354120367. The reversal of 354120340 is 43021453.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 709411 + ... + 709909.

It is an arithmetic number, because the mean of its divisors is an integer number (9177000).

Almost surely, 2354120340 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 354120340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440496000).

354120340 is an abundant number, since it is smaller than the sum of its proper divisors (526871660).

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

354120340 is a wasteful number, since it uses less digits than its factorization.

354120340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 354120340 is about 18818.0854499070. The cubic root of 354120340 is about 707.4845456051.

Adding to 354120340 its reverse (43021453), we get a palindrome (397141793).

The spelling of 354120340 in words is "three hundred fifty-four million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 137 140 148 185 259 274 370 499 518 548 685 740 959 998 1036 1295 1370 1918 1996 2495 2590 2740 3493 3836 4795 4990 5069 5180 6986 9590 9980 10138 13972 17465 18463 19180 20276 25345 34930 35483 36926 50690 68363 69860 70966 73852 92315 101380 129241 136726 141932 177415 184630 258482 273452 341815 354830 369260 478541 516964 646205 683630 709660 957082 1292410 1367260 1914164 2392705 2529431 2584820 4785410 5058862 9570820 10117724 12647155 17706017 25294310 35412034 50588620 70824068 88530085 177060170 354120340